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A027797 a(n) = 22*(n+1)*C(n+3,12). 1
220, 3146, 24024, 130130, 560560, 2042040, 6534528, 18845112, 49884120, 122862740, 284524240, 624660036, 1308811504, 2631351800, 5099265600, 9561123000, 17401243860, 30826185390, 53279826600, 90034894950, 149023274400, 241985412240, 386041244160, 605812006800 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,1

COMMENTS

Number of 16-subsequences of [ 1, n ] with just 3 contiguous pairs.

LINKS

T. D. Noe, Table of n, a(n) for n = 9..1000

FORMULA

G.f.: 22*(10+3x)*x^9/(1-x)^14.

a(n) = C(n+1, 10)*C(n+3, 3). - Zerinvary Lajos, May 10 2005, corrected by R. J. Mathar, Mar 16 2016

MATHEMATICA

Table[22 (n + 1) Binomial[n + 3, 12], {n, 9, 32}] (* or *) Table[Binomial[n + 1, 10] Binomial[n + 3, 3], {n, 9, 32}] (* Michael De Vlieger, Mar 16 2016 *)

CROSSREFS

Sequence in context: A211820 A215491 A258537 * A055663 A333139 A022042

Adjacent sequences:  A027794 A027795 A027796 * A027798 A027799 A027800

KEYWORD

nonn,easy

AUTHOR

thi ngoc dinh (via R. K. Guy)

STATUS

approved

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Last modified January 20 03:25 EST 2022. Contains 350467 sequences. (Running on oeis4.)