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A060074 Triangle A060058 by diagonals. 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 22 10:38 EDT 2018. Contains 316436 sequences. (Running on oeis4.)