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

0,2

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

Table of n, a(n) for n=0..39.

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

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<m; a(n, 0) := 0; a(1, 1)=1.

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

Crossrefs

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

Sequence in context: A287494 A287753 A185544 * A192357 A156286 A049223

Adjacent sequences: A048879 A048880 A048881 * A048883 A048884 A048885

Keyword

easy,nonn,tabl

Author

Wolfdieter Lang

Status

approved