cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A334683 Antidiagonal sums of A068914.

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%I A334683 #7 May 16 2020 08:55:08
%S A334683 1,1,2,3,5,7,12,17,30,44,79,120,218,341,625,1001,1848,3016,5603,9283,
%T A334683 17342,29085,54606,92513,174456,298111,564333,971563,1845364,3198130,
%U A334683 6092038,10621153,20282471,35554559,68042537,119874494,229840130,406794862,781246800,1388643835
%N A334683 Antidiagonal sums of A068914.
%t A334683 T[n_,k_]:=Sum[(-1)^j*Binomial[n,Floor[(n+(k+2)j)/2]],{j,Floor[-n/(k+2)],Ceiling[n/(k+2)]}]; Table[Sum[T[n-k,k],{k,0,n}],{n,0,39}]
%o A334683 (PARI) T(n,k) = sum(j=floor(-n/(k+2)), ceil(n/(k+2)), (-1)^j*binomial(n,floor((n+(k+2)*j)/2))); \\ A068914
%o A334683 a(n) = sum(k=0, n, T(n-k, k)); \\ _Michel Marcus_, May 09 2020
%Y A334683 Cf. A068914.
%K A334683 nonn
%O A334683 0,3
%A A334683 _Stefano Spezia_, May 08 2020