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A066211 a(n) = Sum_{j=0..n} (2*n)!/(2*n-j)!. 1
1, 3, 17, 157, 2081, 36101, 773665, 19726085, 582913217, 19582414021, 736891600001, 30699450566885, 1402556105125345, 69719685409234277, 3745929254826233441, 216310377722912693701, 13359435408855851031425, 878701820865582786218885 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..100

FORMULA

Recurrence: (8*n^3 - 34*n^2 + 47*n - 20)*a(n) = (32*n^5 - 120*n^4 + 144*n^3 - 56*n^2 + 7*n + 2)*a(n-1) - 2*(2*n-3)*(32*n^5 - 144*n^4 + 238*n^3 - 161*n^2 + 38*n - 1)*a(n-2) + 4*(n-2)*(2*n-5)*(2*n-3)*(8*n^3 - 10*n^2 + 3*n + 1)*a(n-3). - Vaclav Kotesovec, Dec 29 2013

a(n) ~ 2^(2*n+1/2) * n^n / exp(n). - Vaclav Kotesovec, Dec 29 2013

MATHEMATICA

Table[Sum[(2*n)!/(2*n-j)!, {j, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Dec 29 2013 *)

PROG

(PARI) { for (n=0, 100, s=0; for (j=0, n, s+=(2*n)!/(2*n - j)!); write("b066211.txt", n, " ", s) ) } [From Harry J. Smith, Feb 06 2010]

CROSSREFS

Sequence in context: A001469 A110501 A274539 * A163884 A221410 A175607

Adjacent sequences:  A066208 A066209 A066210 * A066212 A066213 A066214

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 17 2001

STATUS

approved

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Last modified February 21 02:05 EST 2018. Contains 299388 sequences. (Running on oeis4.)