A064056 Seventh column of quintinomial coefficients.

3, 19, 68, 185, 426, 875, 1652, 2922, 4905, 7887, 12232, 18395, 26936, 38535, 54008, 74324, 100623, 134235, 176700, 229789, 295526, 376211, 474444, 593150, 735605, 905463, 1106784, 1344063, 1622260, 1946831

Offset

0,1

Links

Table of n, a(n) for n=0..29.

Formula

a(n) = A035343(n+2, 6) = binomial(n+2, 2)*(n^4+24*n^3+221*n^2+954*n+1080)/(6!/2!), n >= 0.

G.f.: (3-2*x-2*x^2+3*x^3-x^4)/(1-x)^7; numerator polynomial is N5(6, x) from the array A063422.

a(n) = 3*C(n+2,2) + 10*C(n+2,3) + 10*C(n+2,4) + 5*C(n+2,5) + C(n+2,6) (see comment in A213887). - Vladimir Shevelev and Peter J. C. Moses, Jun 22 2012

Crossrefs

Cf. A027659 (sixth column).

Sequence in context: A091968 A351859 A158714 * A211061 A059599 A183461

Adjacent sequences: A064053 A064054 A064055 * A064057 A064058 A064059

Keyword

nonn,easy

Author

Wolfdieter Lang, Aug 29 2001

Status

approved