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A064056 Seventh column of quintinomial coefficients. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A297744 A091968 A158714 * A211061 A059599 A183461

Adjacent sequences:  A064053 A064054 A064055 * A064057 A064058 A064059

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 29 2001

STATUS

approved

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Last modified July 26 13:32 EDT 2021. Contains 346294 sequences. (Running on oeis4.)