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.

A292143 Triangle read by rows: T(n,k) = (-4)^(1 - k mod 2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).

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%I A292143 #14 Sep 17 2017 03:55:58
%S A292143 1,0,1,0,1,0,1,-4,0,1,-4,0,1,-8,0,1,-8,-4,0,1,-12,-4,0,1,-12,-8,0,1,
%T A292143 -16,-12,0,1,-16,-16,16,0,1,-20,-20,16,0,1,-20,-28,32,0,1,-24,-32,48,
%U A292143 0,1,-24,-40,80,0,1,-28,-48,96,16,0,1,-28,-56,144,16,0,1,-32
%N A292143 Triangle read by rows: T(n,k) = (-4)^(1 - k mod 2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
%H A292143 Seiichi Manyama, <a href="/A292143/b292143.txt">Rows n = 0..481, flattened</a>
%e A292143 First few rows are:
%e A292143   1;
%e A292143   0, 1;
%e A292143   0, 1;
%e A292143   0, 1,  -4;
%e A292143   0, 1,  -4;
%e A292143   0, 1,  -8;
%e A292143   0, 1,  -8,  -4;
%e A292143   0, 1, -12,  -4;
%e A292143   0, 1, -12,  -8;
%e A292143   0, 1, -16, -12;
%e A292143   0, 1, -16, -16, 16.
%Y A292143 Row sums give A292141.
%Y A292143 Columns 0-1 give A000007, A000012.
%Y A292143 Cf. A292049.
%K A292143 sign,tabf
%O A292143 0,8
%A A292143 _Seiichi Manyama_, Sep 09 2017