A063418 - OEIS

A063418

Tenth column (k=9) of septinomial array A063265.

4, 37, 180, 640, 1876, 4809, 11152, 23905, 48070, 91652, 167024, 292747, 495950, 815390, 1305328, 2040374, 3121472, 4683215, 6902700, 10010154, 14301584, 20153727, 28041600, 38558975, 52442130

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..24.

FORMULA

a(n) = A063265(n+2, 9) = (n+1)*(n+2)*(n+3)*(n^6+48*n^5+967*n^4+10548*n^3+66676*n^2+239280*n+241920)/9!.

G.f.: (4-3*x-10*x^2+25*x^3-24*x^4+11*x^5-2*x^6)/(1-x)^10; the numerator polynomial is N7(8, x) from row n=8 of array A063266.

a(n) = 4*C(n+2,2) + 25*C(n+2,3) + 56*C(n+2,4) + 70*C(n+2,5) + 56*C(n+2,6) + 28*C(n+2,7) + 8*C(n+2,8) + C(n+2,9) (see comment in A213889). - Vladimir Shevelev and Peter J. C. Moses, Jun 22 2012

CROSSREFS

Cf. A063417, A213889.

Sequence in context: A145401 A297745 A273684 * A095819 A335773 A201865

Adjacent sequences: A063415 A063416 A063417 * A063419 A063420 A063421

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jul 24 2001

STATUS

approved