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A017796 Binomial coefficients C(80,n). 3

%I #25 Jun 28 2023 21:53:35

%S 1,80,3160,82160,1581580,24040016,300500200,3176716400,28987537150,

%T 231900297200,1646492110120,10477677064400,60246643120300,

%U 315136287090800,1508152231077400,6635869816740560,26958221130508525,101489773667796800

%N Binomial coefficients C(80,n).

%C Row 80 of A007318.

%H Nathaniel Johnston, <a href="/A017796/b017796.txt">Table of n, a(n) for n = 0..80</a> (full sequence)

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

%F G.f.: (1+x)^80.

%F E.g.f.: 1F1(-80; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

%p seq(binomial(80,n), n=0..80); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[80,Range[0,20]] (* _Harvey P. Dale_, Aug 11 2012 *)

%o (Sage) [binomial(80, n) for n in range(16)] # _Zerinvary Lajos_, May 29 2009

%o (PARI) vector(80, n, n--; binomial(80,n)) \\ _G. C. Greubel_, Nov 15 2018

%o (Magma) [Binomial(80,n): n in [0..80]]; // _G. C. Greubel_, Nov 15 2018

%o (GAP) List([0..80], n -> Binomial(80,n)); # _G. C. Greubel_, Nov 15 2018

%Y Cf. A010926-A011001, A017765-A017795, A017797-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)