login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A017733
Binomial coefficients C(n,69).
2
1, 70, 2485, 59640, 1088430, 16108764, 201359550, 2186189400, 21042072975, 182364632450, 1440680596355, 10477677064400, 70724320184700, 446107250395800, 2644778698775100, 14810760713140560
OFFSET
69,2
LINKS
FORMULA
From G. C. Greubel, Nov 09 2018: (Start)
G.f.: x^69/(1-x)^70.
E.g.f.: x^69*exp(x)/69!. (End)
From Amiram Eldar, Dec 17 2020: (Start)
Sum_{n>=69} 1/a(n) = 69/68.
Sum_{n>=69} (-1)^(n+1)/a(n) = A001787(69)*log(2) - A242091(69)/68! = 20365205457375344984064*log(2) - 101282756183642840772927905735657675101997943151 / 7174989242290678616237430 = 0.9861007941... (End)
MATHEMATICA
Array[Binomial[#, 69] &, 16, 69] (* Michael De Vlieger, Jul 06 2018 *)
PROG
(Sage) [binomial(n, 69) for n in range(69, 85)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=69, 90, print1(binomial(n, 69), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 69): n in [69..90]]; // G. C. Greubel, Nov 09 2018
CROSSREFS
Sequence in context: A285170 A017786 A035730 * A197192 A213468 A004377
KEYWORD
nonn
STATUS
approved