OFFSET
31,2
LINKS
T. D. Noe, Table of n, a(n) for n = 31..1000
Index entries for linear recurrences with constant coefficients, signature (32, -496, 4960, -35960, 201376, -906192, 3365856, -10518300, 28048800, -64512240, 129024480, -225792840, 347373600, -471435600, 565722720, -601080390, 565722720, -471435600, 347373600, -225792840, 129024480, -64512240, 28048800, -10518300, 3365856, -906192, 201376, -35960, 4960, -496, 32, -1).
FORMULA
G.f.: x^31/(1-x)^32. - Zerinvary Lajos, Dec 19 2008; adapted to offset by Enxhell Luzhnica, Jan 21 2017
From Amiram Eldar, Dec 12 2020: (Start)
Sum_{n>=31} 1/a(n) = 31/30.
MAPLE
seq(binomial(n, 31), n=31..53); # Zerinvary Lajos, Dec 19 2008
MATHEMATICA
Table[Binomial[n, 31], {n, 31, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)
PROG
(Magma) [Binomial(n, 31): n in [31..70]]; // Vincenzo Librandi, Jun 12 2013
(PARI) x='x+O('x^50); Vec(x^31/(1-x)^32) \\ G. C. Greubel, Nov 23 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved