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A105948 C(n+7,n)*C(n+5,5). 1
1, 48, 756, 6720, 41580, 199584, 792792, 2718144, 8281845, 22902880, 58402344, 139007232, 311800944, 664191360, 1352103840, 2644114176, 4988699793, 9114302736, 16175074300, 27959131200, 47181033900, 77886151200, 126001769400, 200078424000, 312275179125 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

FORMULA

G.f.: -(21*x^5+175*x^4+350*x^3+210*x^2+35*x+1) / (x-1)^13. [Colin Barker, Jan 29 2013]

EXAMPLE

If n=0 then C(0+7,0)*C(0+5,5)= C(7,0)*C(5,5)=1*1=1

If n=12 then C(12+7,12)*C(12+5,5)= C(19,12)*C(17,5)=50388*6188=311800944

MATHEMATICA

Table[Binomial[n+7, n]Binomial[n+5, 5], {n, 0, 30}] (* or *) LinearRecurrence[ {13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1}, {1, 48, 756, 6720, 41580, 199584, 792792, 2718144, 8281845, 22902880, 58402344, 139007232, 311800944}, 30] (* Harvey P. Dale, Apr 08 2019 *)

CROSSREFS

Cf. A062196.

Sequence in context: A102279 A132464 A145155 * A192839 A014401 A241873

Adjacent sequences:  A105945 A105946 A105947 * A105949 A105950 A105951

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos, Apr 27 2005

STATUS

approved

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Last modified May 7 18:29 EDT 2021. Contains 343652 sequences. (Running on oeis4.)