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

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