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Binomial coefficients C(62,n).
3

%I #25 Aug 11 2024 17:54:03

%S 1,62,1891,37820,557845,6471002,61474519,491796152,3381098545,

%T 20286591270,107518933731,508271323092,2160153123141,8308281242850,

%U 29078984349975,93052749919920,273342452889765,739632519584070,1849081298960175,4282083008118300

%N Binomial coefficients C(62,n).

%C Row 62 of A007318.

%H Nathaniel Johnston, <a href="/A017778/b017778.txt">Table of n, a(n) for n = 0..62</a> (full sequence)

%F From _G. C. Greubel_, Nov 14 2018: (Start)

%F G.f.: (1+x)^62.

%F E.g.f.: 1F1(-62; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

%p seq(binomial(62,n), n=0..62); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[62, Range[0,62]] (* _G. C. Greubel_, Nov 14 2018 *)

%t CoefficientList[Series[(1+x)^62,{x,0,20}],x] (* _Harvey P. Dale_, Aug 11 2024 *)

%o (Sage) [binomial(62, n) for n in range(18)] # _Zerinvary Lajos_, May 28 2009

%o (PARI) vector(62, n, n--; binomial(62,n)) \\ _G. C. Greubel_, Nov 14 2018

%o (Magma) [Binomial(62,n): n in [0..62]]; // _G. C. Greubel_, Nov 14 2018

%Y Cf. A010926-A011001, A017765-A017777, A017779-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_