A048882 A convolution triangle of numbers obtained from A034255.

1, 10, 1, 120, 20, 1, 1560, 340, 30, 1, 21216, 5520, 660, 40, 1, 297024, 88032, 12880, 1080, 50, 1, 4243200, 1392768, 236448, 24640, 1600, 60, 1, 61526400, 21952320, 4187232, 512464, 41800, 2220, 70, 1, 902387200, 345396480, 72452160, 10060416

Offset: 0

Author

Wolfdieter Lang

Keywords

• easy
• nonn
• tabl

Comments

a(n,m)=: s2(5; n,m), generalizing s2(2; n,m) := A007318(n-1,m-1) (Pascal), s2(3; n,m) := A035324(n,m), s2(4; n,m)= A035529.

Links

• W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.

Crossrefs

Cf. A035529, A034255. Row sums: A048965(n), n >= 1.

Formula

a(n+1, m) = 4*(4*n+m)*a(n, m)/(n+1) + m*a(n, m-1)/(n+1), n >= m >= 1; a(n, m) := 0, n

G.f. for column m: ((-1+(1-16*x)^(-1/4))/4)^m.

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

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