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A010997
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a(n) = binomial coefficient C(n,44).
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5
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1, 45, 1035, 16215, 194580, 1906884, 15890700, 115775100, 752538150, 4431613550, 23930713170, 119653565850, 558383307300, 2448296039700, 10142940735900, 39895566894540, 149608375854525, 536830054536825, 1849081298960175, 6131164307078475, 19619725782651120
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OFFSET
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44,2
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LINKS
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T. D. Noe, Table of n, a(n) for n = 44..1000
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FORMULA
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G.f.: x^44/(1-x)^45. - Zerinvary Lajos, Dec 20 2008
From Amiram Eldar, Dec 15 2020: (Start)
Sum_{n>=44} 1/a(n) = 44/43.
Sum_{n>=44} (-1)^n/a(n) = A001787(44)*log(2) - A242091(44)/43! = 387028092977152*log(2) - 7178888410874815560070307159852/26760193632961425 = 0.9786869603... (End)
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MAPLE
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seq(binomial(n, 44), n=44..67); # Zerinvary Lajos, Dec 20 2008
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MATHEMATICA
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Table[Binomial[n, 44], {n, 44, 70}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)
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PROG
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(MAGMA) [Binomial(n, 44): n in [44..70]]; // Vincenzo Librandi, Jun 12 2013
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CROSSREFS
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Cf. A010995, A010996, A001787, A242091.
Sequence in context: A161690 A162183 A162418 * A163721 A292209 A317895
Adjacent sequences: A010994 A010995 A010996 * A010998 A010999 A011000
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KEYWORD
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nonn
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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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