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.

A094456 Triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] DELTA [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...] where DELTA is the operator defined in A084938.

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%I A094456 #19 Mar 18 2023 16:49:34
%S A094456 1,0,1,0,1,2,0,1,5,5,0,1,10,22,14,0,1,19,70,93,42,0,1,36,201,421,386,
%T A094456 132,0,1,69,559,1657,2324,1586,429,0,1,134,1548,6162,11836,12136,6476,
%U A094456 1430,0,1,263,4316,22445,55843,76928,60948,26333,4862,0,1,520,12163,81451,254415,444666,467426,297335,106762,16796
%N A094456 Triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] DELTA [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...] where DELTA is the operator defined in A084938.
%C A094456 Diagonals : A000007, A000012, A052944; A000108, A000346.
%C A094456 Triangle :
%C A094456   1;
%C A094456   0, 1;
%C A094456   0, 1,  2;
%C A094456   0, 1,  5,  5;
%C A094456   0, 1, 10, 22, 14;
%C A094456   ...
%C A094456 The alternating sum is (-1)^n = A033999(n). - _F. Chapoton_, Mar 18 2023
%H A094456 Alois P. Heinz, <a href="/A094456/b094456.txt">Rows n = 0..150, flattened</a>
%F A094456 Sum_{k=0..n} T(n,k) = A090365(n).
%Y A094456 Cf. A000108 (main diagonal), A033999, A084938, A090365 (row sums).
%K A094456 nonn,tabl
%O A094456 0,6
%A A094456 _Philippe Deléham_, Jun 04 2004