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A010996
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Binomial coefficient C(n,43).
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5
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1, 44, 990, 15180, 178365, 1712304, 13983816, 99884400, 636763050, 3679075400, 19499099620, 95722852680, 438729741450, 1889912732400, 7694644696200, 29752626158640, 109712808959985, 387221678682300, 1312251244423350, 4282083008118300, 13488561475572645
(list;
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history;
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internal format)
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OFFSET
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43,2
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LINKS
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T. D. Noe, Table of n, a(n) for n = 43..1000
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FORMULA
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G.f.: x^43/(1-x)^44. - Zerinvary Lajos, Dec 20 2008
From Amiram Eldar, Dec 15 2020: (Start)
Sum_{n>=43} 1/a(n) = 43/42.
Sum_{n>=43} (-1)^(n+1)/a(n) = A001787(43)*log(2) - A242091(43)/42! = 189115999977472*log(2) - 897361051359348522193323713869/6845630929362225 = 0.9782220374... (End)
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MAPLE
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seq(binomial(n, 43), n=43..57); # Zerinvary Lajos, Dec 20 2008
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MATHEMATICA
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Table[Binomial[n, 43], {n, 43, 70}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)
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PROG
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(MAGMA) [Binomial(n, 43): n in [43..70]]; // Vincenzo Librandi, Jun 12 2013
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CROSSREFS
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Cf. A010994, A010996, A001787, A242091.
Sequence in context: A161679 A162182 A162413 * A295251 A295650 A004423
Adjacent sequences: A010993 A010994 A010995 * A010997 A010998 A010999
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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