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A017731
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Binomial coefficients C(n,67).
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2
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1, 68, 2346, 54740, 971635, 13991544, 170230452, 1799579064, 16871053725, 142466675900, 1096993404430, 7778680504140, 51209646652255, 315136287090800, 1823288518168200, 9967310565986160, 51705423561053205
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OFFSET
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67,2
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LINKS
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FORMULA
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G.f.: x^67/(1-x)^68.
E.g.f.: x^67*exp(x)/67!. (End)
Sum_{n>=67} 1/a(n) = 67/66.
Sum_{n>=67} (-1)^(n+1)/a(n) = A001787(67)*log(2) - A242091(67)/66! = 4943727411754159833088*log(2) - 202565512367285681545811693791632836799528091007 / 59113344205141113375568080 = 0.9857030700... (End)
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MATHEMATICA
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Array[Binomial[#, 67] &, 17, 67]
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PROG
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(Sage) [binomial(n, 67) for n in range(67, 84)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=67, 90, print1(binomial(n, 67), ", ")) \\ G. C. Greubel, Nov 08 2018
(Magma) [Binomial(n, 67): n in [67..90]]; // G. C. Greubel, Nov 08 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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