OFFSET
25,2
LINKS
T. D. Noe, Table of n, a(n) for n = 25..1000
Index entries for linear recurrences with constant coefficients, signature (26, -325, 2600, -14950, 65780, -230230, 657800, -1562275, 3124550, -5311735, 7726160, -9657700, 10400600, -9657700, 7726160, -5311735, 3124550, -1562275, 657800, -230230, 65780, -14950, 2600, -325, 26, -1).
FORMULA
From Zerinvary Lajos, Aug 18 2008: (Start)
a(n) = C(n,25), n >= 25.
G.f.: x^25/(1-x)^26. (End) [G.f. corrected by Georg Fischer, May 19 2019]
From Amiram Eldar, Dec 11 2020: (Start)
Sum_{n>=25} 1/a(n) = 25/24.
MAPLE
seq(binomial(n, 25), n=25..41); # Zerinvary Lajos, Aug 18 2008
MATHEMATICA
Table[Binomial[n, 25], {n, 25, 50}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)
PROG
(Magma) [Binomial(n, 25): n in [25..50]]; // Vincenzo Librandi, Jun 12 2013
(PARI) x='x+O('x^50); Vec(x^25/(1-x)^26) \\ G. C. Greubel, Nov 23 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved