A010979 Binomial coefficient C(n,26).

1, 27, 378, 3654, 27405, 169911, 906192, 4272048, 18156204, 70607460, 254186856, 854992152, 2707475148, 8122425444, 23206929840, 63432274896, 166509721602, 421171648758, 1029530696964, 2438362177020, 5608233007146, 12551759587422, 27385657281648

Offset

26,2

Links

T. D. Noe, Table of n, a(n) for n = 26..1000

Index entries for linear recurrences with constant coefficients, signature (27, -351, 2925, -17550, 80730, -296010, 888030, -2220075, 4686825, -8436285, 13037895, -17383860, 20058300, -20058300, 17383860, -13037895, 8436285, -4686825, 2220075, -888030, 296010, -80730, 17550, -2925, 351, -27, 1).

Formula

G.f.: x^26/(1-x)^27. - Zerinvary Lajos, Aug 18 2008; adapted to offset by Enxhell Luzhnica, Jan 21 2017

From Amiram Eldar, Dec 11 2020: (Start)

Sum_{n>=26} 1/a(n) = 26/25.

Sum_{n>=26} (-1)^n/a(n) = A001787(26)*log(2) - A242091(26)/25! = 872415232*log(2) - 155661889283343139/257414850 = 0.9653663105... (End)

Maple

seq(binomial(n, 26), n=26..41); # Zerinvary Lajos, Aug 18 2008

Mathematica

Table[Binomial[n, 26], {n, 26, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)

Prog

(Magma) [Binomial(n, 26): n in [26..60]]; // Vincenzo Librandi, Jun 12 2013
(PARI) x='x+O('x^50); Vec(x^26/(1-x)^27) \\ G. C. Greubel, Nov 23 2017

Crossrefs

Cf. A010970, A010971, A010972, A001787, A242091.

Sequence in context: A231858 A341564 A162726 * A022591 A321954 A000535

Adjacent sequences: A010976 A010977 A010978 * A010980 A010981 A010982

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved