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A017715
Binomial coefficients C(n,51).
5
1, 52, 1378, 24804, 341055, 3819816, 36288252, 300674088, 2217471399, 14783142660, 90177170226, 508271323092, 2668424446233, 13136858812224, 60992558771040, 268367258592576, 1123787895356412, 4495151581425648
OFFSET
51,2
LINKS
FORMULA
From G. C. Greubel, Nov 03 2018: (Start)
G.f.: x^51/(1-x)^52.
E.g.f.: x^51*exp(x)/51!. (End)
From Amiram Eldar, Dec 16 2020: (Start)
Sum_{n>=51} 1/a(n) = 51/50.
Sum_{n>=51} (-1)^(n+1)/a(n) = A001787(51)*log(2) - A242091(51)/50! = 57420895248973824*log(2) - 60463469751752265663579884559739219 / 1519139462865684660 = 0.9814572990... (End)
MATHEMATICA
Table[Binomial[n, 51], {n, 51, 77}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)
PROG
(Sage) [binomial(n, 51) for n in range(51, 69)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=51, 80, print1(binomial(n, 51), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 51): n in [51..80]]; // G. C. Greubel, Nov 03 2018
CROSSREFS
Sequence in context: A017768 A035721 A035798 * A112008 A275102 A004342
KEYWORD
nonn
STATUS
approved