Cody

Problem 1475. Chebyshev polynomials of the 2nd Kind

Solution 1938606

Submitted on 16 Sep 2019
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Test Suite

Test Status Code Input and Output
1   Pass
user_solution = fileread('chebyshev2ndKindPoly.m'); assert(isempty(strfind(user_solution,'regexp'))); assert(isempty(strfind(user_solution,'2str'))); assert(isempty(strfind(user_solution,'str2'))); assert(isempty(strfind(user_solution,'interp'))); assert(isempty(strfind(user_solution,'printf'))); assert(isempty(strfind(user_solution,'assert')));

2   Pass
n = 0; P_correct = [1]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1

3   Pass
n = 1; P_correct = [2 0]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0

4   Fail
n = 2; P_correct = [4 0 -1]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2

Assertion failed.

5   Fail
n = 3; P_correct = [8 0 -4 0]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0

Assertion failed.

6   Fail
n = 4; P_correct = [16 0 -12 0 1]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8

Assertion failed.

7   Fail
n = 5; P_correct = [32 0 -32 0 6 0]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0

Assertion failed.

8   Fail
n = 6; P_correct = [64 0 -80 0 24 0 -1]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40

Assertion failed.

9   Fail
n = 7; P_correct = [128 0 -192 0 80 0 -8 0]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40 ans = 128 0 384 0 448 0 224 0

Assertion failed.

10   Fail
n = 8; P_correct = [256 0 -448 0 240 0 -40 0 1]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40 ans = 128 0 384 0 448 0 224 0 ans = 256 0 896 0 1280 0 896 0 224

Assertion failed.

11   Fail
n = 9; P_correct = [512 0 -1024 0 672 0 -160 0 10 0]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40 ans = 128 0 384 0 448 0 224 0 ans = 256 0 896 0 1280 0 896 0 224 ans = 512 0 2048 0 3456 0 3072 0 1344 0

Assertion failed.

12   Fail
n = 10; P_correct = [1024 0 -2304 0 1792 0 -560 0 60 0 -1]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40 ans = 128 0 384 0 448 0 224 0 ans = 256 0 896 0 1280 0 896 0 224 ans = 512 0 2048 0 3456 0 3072 0 1344 0 ans = 1024 0 4608 0 8960 0 9600 0 5760 0 1344

Assertion failed.

13   Fail
n = 11; P_correct = [2048 0 -5120 0 4608 0 -1792 0 280 0 -12 0]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40 ans = 128 0 384 0 448 0 224 0 ans = 256 0 896 0 1280 0 896 0 224 ans = 512 0 2048 0 3456 0 3072 0 1344 0 ans = 1024 0 4608 0 8960 0 9600 0 5760 0 1344 ans = 2048 0 10240 0 22528 0 28160 0 21120 0 8448 0

Assertion failed.

14   Fail
n = 12; P_correct = [4096 0 -11264 0 11520 0 -5376 0 1120 0 -84 0 1]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40 ans = 128 0 384 0 448 0 224 0 ans = 256 0 896 0 1280 0 896 0 224 ans = 512 0 2048 0 3456 0 3072 0 1344 0 ans = 1024 0 4608 0 8960 0 9600 0 5760 0 1344 ans = 2048 0 10240 0 22528 0 28160 0 21120 0 8448 0 ans = 4096 0 22528 0 55296 0 78848 0 70400 0 38016 0 8448

Assertion failed.

15   Fail
n = 13; P_correct = [8192 0 -24576 0 28160 0 -15360 0 4032 0 -448 0 14 0]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40 ans = 128 0 384 0 448 0 224 0 ans = 256 0 896 0 1280 0 896 0 224 ans = 512 0 2048 0 3456 0 3072 0 1344 0 ans = 1024 0 4608 0 8960 0 9600 0 5760 0 1344 ans = 2048 0 10240 0 22528 0 28160 0 21120 0 8448 0 ans = 4096 0 22528 0 55296 0 78848 0 70400 0 38016 0 8448 ans = 8192 0 49152 0 133120 0 212992 0 219648 0 146432 0 54912 0

Assertion failed.

16   Fail
n = 14; P_correct = [16384 0 -53248 0 67584 0 -42240 0 13440 0 -2016 0 112 0 -1]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40 ans = 128 0 384 0 448 0 224 0 ans = 256 0 896 0 1280 0 896 0 224 ans = 512 0 2048 0 3456 0 3072 0 1344 0 ans = 1024 0 4608 0 8960 0 9600 0 5760 0 1344 ans = 2048 0 10240 0 22528 0 28160 0 21120 0 8448 0 ans = 4096 0 22528 0 55296 0 78848 0 70400 0 38016 0 8448 ans = 8192 0 49152 0 133120 0 212992 0 219648 0 146432 0 54912 0 ans = 16384 0 106496 0 315392 0 559104 0 652288 0 512512 0 256256 0 54912

Assertion failed.

17   Fail
n = 15; P_correct = [32768 0 -114688 0 159744 0 -112640 0 42240 0 -8064 0 672 0 -16 0]; assert(isequal(chebyshev2ndKindPoly(n),P_correct));

ans = 1 ans = 2 0 ans = 4 0 2 ans = 8 0 8 0 ans = 16 0 24 0 8 ans = 32 0 64 0 40 0 ans = 64 0 160 0 144 0 40 ans = 128 0 384 0 448 0 224 0 ans = 256 0 896 0 1280 0 896 0 224 ans = 512 0 2048 0 3456 0 3072 0 1344 0 ans = 1024 0 4608 0 8960 0 9600 0 5760 0 1344 ans = 2048 0 10240 0 22528 0 28160 0 21120 0 8448 0 ans = 4096 0 22528 0 55296 0 78848 0 70400 0 38016 0 8448 ans = 8192 0 49152 0 133120 0 212992 0 219648 0 146432 0 54912 0 ans = 16384 0 106496 0 315392 0 559104 0 652288 0 512512 0 256256 0 54912 ans = Columns 1 through 15 32768 0 229376 0 737280 0 1433600 0 1863680 0 1677312 0 1025024 0 366080 Column 16 0

Assertion failed.