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A004318
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Binomial coefficient C(2n,n-12).
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1
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1, 26, 378, 4060, 35960, 278256, 1947792, 12620256, 76904685, 445891810, 2481256778, 13340783196, 69668534468, 354860518600, 1768966344600, 8654327655120, 41648951840265, 197548686920970, 925029565741050, 4282083008118300, 19619725782651120, 89067326568860640
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OFFSET
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12,2
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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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Sum_{n>=12} 1/a(n) = 2*Pi/(9*sqrt(3)) + 29719175/46558512.
Sum_{n>=12} (-1)^n/a(n) = 10920956*log(phi)/(5*sqrt(5)) - 109423385475847/232792560, where phi is the golden ratio (A001622). (End)
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MATHEMATICA
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Table[Binomial[2*n, n-12], {n, 12, 30}] (* Amiram Eldar, Aug 27 2022 *)
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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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