Problem 161. Wilf-Zeilberger pairs

Solution 2877452

Submitted on 25 Aug 2020 by Ramesh Kumar V

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Test	Status	Code Input and Output
1	Pass	F = @(n,k)(sin(n)+sin(k)) G = @(n,k)(n+k) n = 6; k = 4; y_correct = false; assert(isequal(wzpair(F,G,n,k),y_correct)) F = function_handle with value: @(n,k)(sin(n)+sin(k)) G = function_handle with value: @(n,k)(n+k) z1 = 0.9364 z2 = 1
2	Pass	F = @(n,k) (((-1)^k)nchoosek(n,k)nchoosek(2k,k)4^(n-k)/nchoosek(2n,n)); G = @(n,k)((2k-1)F(n,k-1)/(2n+1)) n = 7; k = 2; y_correct = true; assert(isequal(wzpair(F,G,n,k),y_correct)) G = function_handle with value: @(n,k)((2k-1)F(n,k-1)/(2*n+1)) z1 = 15.8732 z2 = 15.8732
3	Pass	F = @(n,k)(sin(n)+sin(k)) G = @(n,k)(n+k) n = 7; k = 2; y_correct = false; assert(isequal(wzpair(F,G,n,k),y_correct)) F = function_handle with value: @(n,k)(sin(n)+sin(k)) G = function_handle with value: @(n,k)(n+k) z1 = 0.3324 z2 = 1
4	Pass	F = @(n,k) (((-1)^k)nchoosek(n,k)nchoosek(2k,k)4^(n-k)/nchoosek(2n,n)); G = @(n,k)((2k-1)F(n,k-1)/(2n+1)) n = 6; k = 4; y_correct = true; assert(isequal(wzpair(F,G,n,k),y_correct)) G = function_handle with value: @(n,k)((2k-1)F(n,k-1)/(2*n+1)) z1 = 27.5058 z2 = 27.5058

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