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A064055 Ninth column of quadrinomial coefficients. 2
3, 31, 155, 546, 1554, 3823, 8451, 17205, 32802, 59268, 102388, 170261, 273975, 428418, 653242, 973998, 1423461, 2043165, 2885169, 4014076, 5509328, 7467801, 10006725, 13266955, 17416620, 22655178, 29217906 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..26.

FORMULA

a(n)= A008287(n+3, 8)= binomial(n+3, 3)*(n^5+46*n^4+875*n^3+7118*n^2+23880*n+20160)/(8!/3!), n >= 0.

G.f.: (3+4*x-16*x^2+15*x^3-6*x^4+x^5 )/(1-x)^9, numerator polynomial is N4(8, x) from the array A063421.

a(n) = 3*C(n+3,3) + 19*C(n+3,4) + 30*C(n+3,5) + 21*C(n+3,6) + 7*C(n+3,7) + C(n+3,8) (see comment in A071675). - Vladimir Shevelev and Peter J. C. Moses, Jun 22 2012

CROSSREFS

A001919 (eighth column).

Sequence in context: A069615 A087389 A294394 * A227049 A078604 A195603

Adjacent sequences:  A064052 A064053 A064054 * A064056 A064057 A064058

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 29 2001

STATUS

approved

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Last modified May 17 18:55 EDT 2021. Contains 343987 sequences. (Running on oeis4.)