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A004317 Binomial coefficient C(2n,n-11). 0
1, 24, 325, 3276, 27405, 201376, 1344904, 8347680, 48903492, 273438880, 1471442973, 7669339132, 38910617655, 192928249296, 937845656300, 4481381406320, 21094923659355, 97997533741800, 449972009097765 (list; graph; refs; listen; history; text; internal format)
OFFSET

11,2

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.

LINKS

Table of n, a(n) for n=11..29.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Milan Janjic, Two Enumerative Functions

M. Janjic and B. Petkovic, A Counting Function, arXiv preprint arXiv:1301.4550 [math.CO], 2013. - N. J. A. Sloane, Feb 13 2013

M. Janjic, B. Petkovic, A Counting Function Generalizing Binomial Coefficients and Some Other Classes of Integers, J. Int. Seq. 17 (2014) # 14.3.5.

FORMULA

-(n-11)*(n+11)*a(n) +2*n*(2*n-1)*a(n-1)=0. - R. J. Mathar, Jan 24 2018

E.g.f.: BesselI(11,2*x)*exp(2*x). - Ilya Gutkovskiy, Jun 28 2019

MATHEMATICA

Table[Binomial[2n, n-11], {n, 11, 30}] (* Harvey P. Dale, Aug 02 2015 *)

CROSSREFS

Sequence in context: A022652 A292298 A138453 * A295250 A295649 A188779

Adjacent sequences:  A004314 A004315 A004316 * A004318 A004319 A004320

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 18 01:05 EST 2020. Contains 330995 sequences. (Running on oeis4.)