13,2

a(n) = -A110555(n+1,13). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 27 2005

Product of 13 consecutive numbers divided by 13! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

In this sequence there are no primes - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

With a different offset, number of n-permutations (n>=13) of 2 objects: u,v, with repetition allowed, containing exactly (13) u's. Example: n=13, a(0)=1 because we have uuuuuuuuuuuuu n=14, a(1)=14 because we have uuuuuuuuuuuuuv, uuuuuuuuuuuuvu, uuuuuuuuuuuvuu, uuuuuuuuuuvuuu, uuuuuuuuuvuuuu, uuuuuuuuvuuuuu, uuuuuuuvuuuuuu, uuuuuuvuuuuuuu, uuuuuvuuuuuuuu, uuuuvuuuuuuuuu uuuvuuuuuuuuuu, uuvuuuuuuuuuuu, uvuuuuuuuuuuuu, vuuuuuuuuuuuuu. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]

With a different offset, number of n-permutations (n>=13) of 2 objects: u,v, with repetition allowed, containing exactly 13 u's. Example: n=13, a(0)=1 because we have uuuuuuuuuuuuu n=14, a(1)=14 because we have uuuuuuuuuuuuuv, uuuuuuuuuuuuvu, uuuuuuuuuuuvuu, uuuuuuuuuuvuuu, uuuuuuuuuvuuuu, uuuuuuuuvuuuuu, uuuuuuuvuuuuuu, uuuuuuvuuuuuuu, uuuuuvuuuuuuuu, uuuuvuuuuuuuuu uuuvuuuuuuuuuu, uuvuuuuuuuuuuu, uvuuuuuuuuuuuu, vuuuuuuuuuuuuu. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 03 2008

Milan Janjic, Two Enumerative Functions

a(n+12)=n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6)(n+7)(n+8)(n+9)(n+10)(n+11)(n+12)/13! - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007, R. J. Mathar, Jul 07 2009.

Gf.: x^13/(1-x)^14. a(n)=C(n,13),n>=13 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]

seq(binomial(n, 13), n=13..36); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]

Table[n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6)(n+7)(n+8)(n+9)(n+10)(n+11)(n+12)/13!, {n, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Dec 02 2007

Sequence in context: A139614 A068390 A008506 this_sequence A022579 A061179 A076128

Adjacent sequences: A010963 A010964 A010965 this_sequence A010967 A010968 A010969

nonn

N. J. A. Sloane (njas(AT)research.att.com).

Some formulas for different offsets rewritten by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2009