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A017718
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Binomial coefficients C(n,54).
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3
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1, 55, 1540, 29260, 424270, 5006386, 50063860, 436270780, 3381098545, 23667689815, 151473214816, 895068996640, 4922879481520, 25371763481680, 123234279768160, 566877686933536, 2480089880334220, 10358022441395860
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OFFSET
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54,2
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LINKS
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FORMULA
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G.f.: x^54/(1-x)^55.
E.g.f.: x^54*exp(x)/54!. (End)
Sum_{n>=54} 1/a(n) = 54/53.
Sum_{n>=54} (-1)^n/a(n) = A001787(54)*log(2) - A242091(54)/53! = 486388759756013568*log(2) - 12818255587371480599411812742078124833 / 38020684890055052185 = 0.9824355313... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 54) for n in range(54, 72)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=54, 80, print1(binomial(n, 54), ", ")) \\ G. C. Greubel, Nov 03 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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