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Binomial coefficients C(64,n).
3

%I #23 Jun 28 2023 21:47:50

%S 1,64,2016,41664,635376,7624512,74974368,621216192,4426165368,

%T 27540584512,151473214816,743595781824,3284214703056,13136858812224,

%U 47855699958816,159518999862720,488526937079580,1379370175283520,3601688791018080

%N Binomial coefficients C(64,n).

%C Row 64 of A007318.

%H Nathaniel Johnston, <a href="/A017780/b017780.txt">Table of n, a(n) for n = 0..64</a> (full sequence)

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

%F G.f.: (1+x)^64.

%F E.g.f.: 1F1(-64; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

%p seq(binomial(64,n), n=0..64); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[64, Range[0,64]] (* _G. C. Greubel_, Nov 14 2018 *)

%o (Sage) [binomial(64, n) for n in range(18)] # _Zerinvary Lajos_, May 28 2009

%o (PARI) vector(64, n, n--; binomial(64,n)) \\ _G. C. Greubel_, Nov 14 2018

%o (Magma) [Binomial(64,n): n in [0..64]]; // _G. C. Greubel_, Nov 14 2018

%Y Cf. A010926-A011001, A017765-A017779, A017781-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_