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A017797 Binomial coefficients C(81,n). 3

%I #23 Jun 28 2023 21:53:54

%S 1,81,3240,85320,1663740,25621596,324540216,3477216600,32164253550,

%T 260887834350,1878392407320,12124169174520,70724320184700,

%U 375382930211100,1823288518168200,8144022047817960,33594090947249085,128447994798305325,456703981505085600

%N Binomial coefficients C(81,n).

%C Row 81 of A007318.

%H Nathaniel Johnston, <a href="/A017797/b017797.txt">Table of n, a(n) for n = 0..81</a> (full sequence)

%F From _G. C. Greubel_, Nov 15 2018: (Start)

%F G.f.: (1+x)^81.

%F E.g.f.: 1F1(-81; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

%p seq(binomial(81,n), n=0..81); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[81, Range[0,81]] (* _G. C. Greubel_, Nov 15 2018 *)

%o (Sage) [binomial(81, n) for n in range(16)] # _Zerinvary Lajos_, May 29 2009

%o (PARI) vector(81, n, n--; binomial(81,n)) \\ _G. C. Greubel_, Nov 15 2018

%o (Magma) [Binomial(81,n): n in [0..81]]; // _G. C. Greubel_, Nov 15 2018

%o (GAP) List([0..81], n -> Binomial(81,n)); # _G. C. Greubel_, Nov 15 2018

%Y Cf. A010926-A011001, A017765-A017796, A017798-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)