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.

A073135 Table by antidiagonals of T(n,k) = 2*n*T(n,k-1) - n^2*T(n,k-2) + T(n,k-4) starting with T(n,1) = 1.

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%I A073135 #17 Jan 10 2025 10:09:44
%S A073135 1,2,1,3,4,1,4,12,6,1,6,32,27,8,1,10,81,108,48,10,1,17,200,406,256,75,
%T A073135 12,1,28,488,1470,1281,500,108,14,1,45,1184,5193,6160,3126,864,147,16,
%U A073135 1,72,2865,18036,28832,18770,6481,1372,192,18,1,116,6924,61885,132352
%N A073135 Table by antidiagonals of T(n,k) = 2*n*T(n,k-1) - n^2*T(n,k-2) + T(n,k-4) starting with T(n,1) = 1.
%F A073135 T(n, k) = (A073133(n, k+2) - A073134(n, k+2))/2.
%F A073135 T(n, k) = Sum_{j=0..floor((k-1)/4)} abs(A053122(k-3*j-1, j)*n^(k-4*j-1)).
%e A073135 Rows start:
%e A073135   1, 2,  3,   4,    6,   10,    17, ...;
%e A073135   1, 4, 12,  32,   81,  200,   488, ...;
%e A073135   1, 6, 27, 108,  406, 1470,  5193, ...;
%e A073135   1, 8, 48, 256, 1281, 6160, 28832, ...;
%e A073135   ...
%Y A073135 Cf. A053122, A073133, A073134.
%Y A073135 Rows include A024490, A048776.
%Y A073135 Columns include A000012, A005843, A033428, A033430.
%K A073135 nonn,tabl
%O A073135 0,2
%A A073135 _Henry Bottomley_, Jul 16 2002