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A063262 Eighth column (k=7) of sextinomial array A063260. 4
4, 27, 104, 305, 756, 1667, 3368, 6354, 11340, 19327, 31680, 50219, 77324, 116055, 170288, 244868, 345780, 480339, 657400, 887589, 1183556, 1560251, 2035224, 2628950, 3365180, 4271319, 5378832 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

FORMULA

a(n) = A063260(n+2, 7 )= (n+1)*(n+2)*(n^5+32*n^4+413*n^3+2722*n^2+9432*n+10080)/7!.

G.f.: (4-5*x+5*x^3-4*x^4+x^5)/(1-x)^8; the numerator polynomial is N6(7, x) from row n=7 of array A063261.

a(n) = 4*C(n+2,2) + 15*C(n+2,3) + 20*C(n+2,4) + 15*C(n+2,5) + 6*C(n+2,6) + C(n+2,7) (see comment in A213888). - Vladimir Shevelev and Peter J. C. Moses, Jun 22 2012

CROSSREFS

Cf. A062989.

Sequence in context: A092364 A296316 A071175 * A156223 A048102 A171469

Adjacent sequences:  A063259 A063260 A063261 * A063263 A063264 A063265

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jul 24 2001

STATUS

approved

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Last modified January 20 21:36 EST 2019. Contains 319336 sequences. (Running on oeis4.)