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

Author

Wolfdieter Lang, Mar 16 2001

Keywords

• nonn
• easy
• tabl

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).

Examples

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

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

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

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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