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A017732
Binomial coefficients C(n,68).
2
1, 69, 2415, 57155, 1028790, 15020334, 185250786, 1984829850, 18855883575, 161322559475, 1258315963905, 9036996468045, 60246643120300, 375382930211100, 2198671448379300, 12165982014365460, 63871405575418665
OFFSET
68,2
LINKS
FORMULA
From G. C. Greubel, Nov 09 2018: (Start)
G.f.: x^68/(1-x)^69.
E.g.f.: x^68*exp(x)/68!. (End)
From Amiram Eldar, Dec 17 2020: (Start)
Sum_{n>=68} 1/a(n) = 68/67.
Sum_{n>=68} (-1)^n/a(n) = A001787(68)*log(2) - A242091(68)/67! = 10035028776097996079104*log(2) - 202565512367285681545841250463735407356215875047 / 29122015159885695560022510 = 0.9859047391... (End)
MATHEMATICA
Array[Binomial[#, 68] &, 17, 68] (* Michael De Vlieger, Jul 06 2018 *)
PROG
(Sage) [binomial(n, 68) for n in range(68, 85)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=68, 90, print1(binomial(n, 68), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 68): n in [68..90]]; // G. C. Greubel, Nov 09 2018
CROSSREFS
Sequence in context: A133708 A253334 A017785 * A252998 A202978 A206859
KEYWORD
nonn
STATUS
approved