A060074 Triangle A060058 by diagonals.

1, 1, 1, 5, 5, 1, 61, 61, 14, 1, 1385, 1385, 331, 30, 1, 50521, 50521, 12284, 1211, 55, 1, 2702765, 2702765, 663061, 68060, 3486, 91, 1, 199360981, 199360981, 49164554, 5162421, 281210, 8526, 140, 1

Offset

0,4

Comments

Row sums give A060059. Columns give A000364 (Euler numbers), A000364, A060075-78 for m=0,..,5.

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).

Links

Table of n, a(n) for n=0..35.

Formula

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.

a(n, m)=A060058(n, n-m).

Example

{1}; {1,1}; {5,5,1}; {61,61,14,1}; ...

Crossrefs

Sequence in context: A060058 A092766 A288389 * A280868 A229160 A011501

Adjacent sequences: A060071 A060072 A060073 * A060075 A060076 A060077

Keyword

nonn,easy,tabl

Author

Wolfdieter Lang, Mar 16 2001

Status

approved