A017771 - OEIS

%I #26 Jun 28 2023 21:45:22

%S 1,55,1485,26235,341055,3478761,28989675,202927725,1217566350,

%T 6358402050,29248649430,119653565850,438729741450,1451182990950,

%U 4353548972850,11899700525790,29749251314475,68248282427325,144079707346575,280576272201225,505037289962205

%N Binomial coefficients C(55,n).

%C Row 55 of A007318.

%H Nathaniel Johnston, <a href="/A017771/b017771.txt">Table of n, a(n) for n = 0..55</a> (full sequence)

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

%F G.f.: (1+x)^55.

%F E.g.f.: 1F1(-55; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

%p seq(binomial(55,n), n=0..55); # _Nathaniel Johnston_, Jun 24 2011

%t Binomial[55,Range[0,55]] (* _Harvey P. Dale_, Feb 26 2013 *)

%o (Sage) [binomial(55, n) for n in range(56)] # _Zerinvary Lajos_, May 28 2009

%o (PARI) vector(55, n, n--; binomial(55,n)) \\ _G. C. Greubel_, Nov 13 2018

%o (Magma) [Binomial(55,n): n in [0..55]]; // _G. C. Greubel_, Nov 13 2018

%Y Cf. A010926-A011001, A017765-A017770, A017772-A017816.

%K nonn,fini,full,easy

%O 0,2

%A _N. J. A. Sloane_