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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, 2044802197953900, 9206478467454345, 41107996877935680 (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 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 Milan Janjic and B. Petkovic, A Counting Function, arXiv preprint arXiv:1301.4550 [math.CO], 2013. - N. J. A. Sloane, Feb 13 2013 Milan Janjic and B. Petkovic, A Counting Function Generalizing Binomial Coefficients and Some Other Classes of Integers, J. Int. Seq. 17 (2014), Article 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 From Amiram Eldar, Aug 27 2022: (Start) Sum_{n>=11} 1/a(n) = 338662421/23279256 - 67*Pi/(9*sqrt(3)). Sum_{n>=11} (-1)^(n+1)/a(n) = 3817214*log(phi)/(5*sqrt(5)) - 1471028205721/8953560, where phi is the golden ratio (A001622). (End) MATHEMATICA Table[Binomial[2n, n-11], {n, 11, 30}] (* Harvey P. Dale, Aug 02 2015 *) CROSSREFS Cf. A001622. Sequence in context: A022652 A292298 A138453 * A295250 A295649 A188779 Adjacent sequences: A004314 A004315 A004316 * A004318 A004319 A004320 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified December 3 09:50 EST 2022. Contains 358517 sequences. (Running on oeis4.)