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A017793 Binomial coefficients C(77, n).

%I A017793 #28 Jun 28 2023 21:52:26
%S A017793 1,77,2926,73150,1353275,19757815,237093780,2404808340,21042072975,
%T A017793 161322559475,1096993404430,6681687099710,36749279048405,
%U A017793 183746395242025,839983521106400,3527930788646880,13670731806006660,49053802362729780,163512674542432600
%N A017793 Binomial coefficients C(77, n).
%C A017793 Row 77 of A007318.
%H A017793 Nathaniel Johnston, <a href="/A017793/b017793.txt">Table of n, a(n) for n = 0..77</a> (full sequence)
%F A017793 G.f.: (x + 1)^77. - _Iain Fox_, Nov 20 2017
%F A017793 E.g.f.: 1F1(-77; 1; -x), where 1F1 is the confluent hypergeometric function. - _G. C. Greubel_, Nov 15 2018
%p A017793 seq(binomial(77,n), n=0..77); # _Nathaniel Johnston_, Jun 24 2011
%t A017793 Binomial[77, Range[0, 20]] (* _Alonso del Arte_, Nov 19 2017 *)
%o A017793 (Sage) [binomial(77, n) for n in range(17)] # _Zerinvary Lajos_, May 28 2009
%o A017793 (PARI) Vec((x+1)^77) \\ _Iain Fox_, Nov 20 2017
%o A017793 (PARI) vector(77, n, n--; binomial(77,n)) \\ _G. C. Greubel_, Nov 15 2018
%o A017793 (Magma) [Binomial(77,n): n in [0..77]]; // _G. C. Greubel_, Nov 15 2018
%o A017793 (GAP) List([0..77], n -> Binomial(77,n)); # _G. C. Greubel_, Nov 15 2018
%Y A017793 Cf. A010926-A011001, A017765-A017792, A017794-A017816.
%K A017793 nonn,fini,full,easy
%O A017793 0,2
%A A017793 _N. J. A. Sloane_