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Binomial coefficients C(63,n).
3

%I #23 Jun 28 2023 21:47:35

%S 1,63,1953,39711,595665,7028847,67945521,553270671,3872894697,

%T 23667689815,127805525001,615790256823,2668424446233,10468434365991,

%U 37387265592825,122131734269895,366395202809685,1012974972473835,2588713818544245,6131164307078475

%N Binomial coefficients C(63,n).

%C Row 63 of A007318.

%H Nathaniel Johnston, <a href="/A017779/b017779.txt">Table of n, a(n) for n = 0..63</a> (full sequence)

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

%F G.f.: (1+x)^63.

%F E.g.f.: 1F1(-63; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

%p seq(binomial(63,n), n=0..63); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[63, Range[0,63]] (* _G. C. Greubel_, Nov 14 2018 *)

%o (Sage) [binomial(63, n) for n in range(18)] # _Zerinvary Lajos_, May 28 2009

%o (PARI) vector(63, n, n--; binomial(63,n)) \\ _G. C. Greubel_, Nov 14 2018

%o (Magma) [Binomial(63,n): n in [0..63]]; // _G. C. Greubel_, Nov 14 2018

%Y Cf. A010926-A011001, A017765-A017778, A017780-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_