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A004317
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Binomial coefficient C(2n,n-11).
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1
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1, 24, 325, 3276, 27405, 201376, 1344904, 8347680, 48903492, 273438880, 1471442973, 7669339132, 38910617655, 192928249296, 937845656300, 4481381406320, 21094923659355, 97997533741800, 449972009097765, 2044802197953900, 9206478467454345, 41107996877935680
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OFFSET
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11,2
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REFERENCES
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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.
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LINKS
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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].
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FORMULA
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-(n-11)*(n+11)*a(n) + 2*n*(2*n-1)*a(n-1) = 0. - R. J. Mathar, Jan 24 2018
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)
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MATHEMATICA
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Table[Binomial[2n, n-11], {n, 11, 30}] (* Harvey P. Dale, Aug 02 2015 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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