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.

A060074 Triangle A060058 by diagonals.

This page as a plain text file.
%I A060074 #5 Mar 31 2012 13:20:05
%S A060074 1,1,1,5,5,1,61,61,14,1,1385,1385,331,30,1,50521,50521,12284,1211,55,
%T A060074 1,2702765,2702765,663061,68060,3486,91,1,199360981,199360981,
%U A060074 49164554,5162421,281210,8526,140,1
%N A060074 Triangle A060058 by diagonals.
%C A060074 Row sums give A060059. Columns give A000364 (Euler numbers), A000364, A060075-78 for m=0,..,5.
%C A060074 Triangle can be used to express the Euler numbers E(n)=A000364(n), n >= 2, in terms of the numbers A060080 (scaled sums of squares), according to E(n+2)= sum(a(n,m)*A060080(m+2),m=0..n).
%F A060074 a(n, m)= a(n-1, m-1)+(m+1)^2*a(n, m+1), a(n, -1) := 0, a(0, 0)=1, a(n, m)=0 if n<m.
%F A060074 a(n, m)=A060058(n, n-m).
%e A060074 {1}; {1,1}; {5,5,1}; {61,61,14,1}; ...
%K A060074 nonn,easy,tabl
%O A060074 0,4
%A A060074 _Wolfdieter Lang_, Mar 16 2001