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A027808 55*(n+1)*C(n+4,12). 1
495, 7150, 55055, 300300, 1301300, 4764760, 15315300, 44341440, 117781950, 290990700, 675745070, 1487285800, 3123300180, 6292363000, 12216990500, 22946695200, 41829913125, 74211187050, 128442439125, 217325608500, 360139579800, 585448578000, 934943638200 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,1

LINKS

T. D. Noe, Table of n, a(n) for n = 8..1000

FORMULA

Number of 17-subsequences of [ 1, n ] with just 4 contiguous pairs; g.f.: 55*(9+4*x)*x^8/(1-x)^14.

C(n+1, 9)*C(n+4, 4) - Zerinvary Lajos, May 26 2005

MATHEMATICA

Table[55(n+1)Binomial[n+4, 12], {n, 8, 30}] (* or *) CoefficientList[ Series[(55(4x+9))/(x-1)^14, {x, 0, 22}], x] (* From Harvey P. Dale, Nov 20 2011 *)

CROSSREFS

Sequence in context: A099009 A055160 A055157 * A104478 A133352 A140913

Adjacent sequences:  A027805 A027806 A027807 * A027809 A027810 A027811

KEYWORD

nonn

AUTHOR

thi ngoc dinh (via R. K. Guy)

STATUS

approved

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Last modified May 26 15:29 EDT 2019. Contains 323597 sequences. (Running on oeis4.)