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A111526 Number triangle T(n,k)=C((n+k)/2,k)(n+1)(1+(-1)^(n-k))/(2(k+1)); T(n,k)=(-1)^((n-k)/2)*A053120(n+1,k+1)/2^k; Riordan array ((1+x^2)/(1-x^2)^2,x/(1-x^2)). 1

%I #2 Mar 30 2012 18:59:09

%S 1,0,1,3,0,1,0,4,0,1,5,0,5,0,1,0,9,0,6,0,1,7,0,14,0,7,0,1,0,16,0,20,0,

%T 8,0,1,9,0,30,0,27,0,9,0,1,0,25,0,50,0,35,0,10,0,1,11,0,55,0,77,0,44,

%U 0,11,0,1,0,36,0,105,0,112,0,54,0,12,0,1,13,0,91,0,182,0,156,0,65,0,13,0,1,0

%N Number triangle T(n,k)=C((n+k)/2,k)(n+1)(1+(-1)^(n-k))/(2(k+1)); T(n,k)=(-1)^((n-k)/2)*A053120(n+1,k+1)/2^k; Riordan array ((1+x^2)/(1-x^2)^2,x/(1-x^2)).

%C A scaled Chebyshev triangle.

%C Row sums are A001350(n+1). Diagonal sums are A033484, with interpolated zeros. Inverse is A111527.

%e Triangle starts

%e 1;

%e 0,1;

%e 3,0,1;

%e 0,4,0,1;

%e 5,0,5,0,1;

%e 0,9,0,6,0,1;

%e 7,0,14,0,7,0,1;

%Y Cf. A110813.

%K easy,nonn,tabl

%O 0,4

%A _Paul Barry_, Aug 05 2005

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Last modified August 23 22:08 EDT 2024. Contains 375396 sequences. (Running on oeis4.)