A022918 Multinomial coefficients(TOP, BOTTOM), where TOP = n(n+1)(2n+1)/6, BOTTOM = ( 1^2 2^2 ... n^2 ).

1, 5, 10010, 1455680976750, 4492014649431378228480321000, 128588605335042465692190540763466217456052544386524000

Offset

1,2

Links

Alois P. Heinz, Table of n, a(n) for n = 1..14

Maple

with(combinat):
a:= n-> multinomial(n*(n+1)*(2*n+1)/6, i^2$i=1..n):
seq(a(n), n=1..8);  # Alois P. Heinz, Sep 24 2013

Crossrefs

Sequence in context: A076629 A052027 A109514 * A212617 A160741 A101846

Adjacent sequences: A022915 A022916 A022917 * A022919 A022920 A022921

Keyword

nonn

Author

Clark Kimberling

Status

approved