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Binomial coefficients C(54,n).
3

%I #24 Jun 28 2023 21:45:04

%S 1,54,1431,24804,316251,3162510,25827165,177100560,1040465790,

%T 5317936260,23930713170,95722852680,343006888770,1108176102180,

%U 3245372870670,8654327655120,21094923659355,47153358767970,96926348578605,183649923622620,321387366339585

%N Binomial coefficients C(54,n).

%C Row 54 of A007318.

%H Nathaniel Johnston, <a href="/A017770/b017770.txt">Table of n, a(n) for n = 0..54</a> (full sequence)

%F From _G. C. Greubel_, Nov 13 2018: (Start)

%F G.f.: (1+x)^54.

%F E.g.f.: 1F1(-54; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

%p seq(binomial(54,n), n=0..54); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[54,Range[0,54]] (* _G. C. Greubel_, Nov 13 2018 *)

%o (Sage) [binomial(54, n) for n in range(55)] # _Zerinvary Lajos_, May 23 2009

%o (PARI) vector(54, n, n--; binomial(54,n)) \\ _G. C. Greubel_, Nov 13 2018

%o (Magma) [Binomial(54,n): n in [0..54]]; // _G. C. Greubel_, Nov 13 2018

%Y Cf. A010926-A011001, A017765-A017769, A017771-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_