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A017746
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Binomial coefficients C(n,82).
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2
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1, 83, 3486, 98770, 2123555, 36949857, 541931236, 6890268572, 77515521435, 783768050065, 7210666060598, 60962903966874, 477542747740513, 3489735464257595, 23929614612052080, 154744841157936784
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OFFSET
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82,2
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LINKS
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FORMULA
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G.f.: x^82/(1-x)^83.
E.g.f.: x^82*exp(x)/82!. (End)
Sum_{n>=82} 1/a(n) = 82/81.
Sum_{n>=82} (-1)^n/a(n) = A001787(82)*log(2) - A242091(82)/81! = 198263834416799184651812864*log(2) - 20383793233274067347552815456116292175605687562978728740013 / 148325575860338336486079751397700 = 0.9882289899... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 82) for n in range(82, 98)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=82, 100, print1(binomial(n, 82), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 82): n in [82..100]]; // G. C. Greubel, Nov 09 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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