OFFSET
14,2
COMMENTS
In this sequence there are no primes. - Artur Jasinski, Dec 02 2007
LINKS
T. D. Noe, Table of n, a(n) for n = 14..1000
Milan Janjic, Two Enumerative Functions.
Index entries for linear recurrences with constant coefficients, signature (15, -105, 455, -1365, 3003, -5005, 6435, -6435, 5005, -3003, 1365, -455, 105, -15, 1).
FORMULA
a(n) = A110555(n+1,14). - Reinhard Zumkeller, Jul 27 2005
a(n+13) = 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)(n+13)/14!. - Artur Jasinski, Dec 02 2007, R. J. Mathar, Jul 07 2009
G.f.: x^14/(1-x)^15. - Zerinvary Lajos, Aug 06 2008, R. J. Mathar, Jul 07 2009
a(n) = n/(n-14) * a(n-1), n > 14. - Vincenzo Librandi, Mar 26 2011
From Amiram Eldar, Dec 10 2020: (Start)
Sum_{n>=14} 1/a(n) = 14/13.
MAPLE
seq(binomial(n, 14), n=14..37); # Zerinvary Lajos, Aug 06 2008
MATHEMATICA
Table[Binomial[n, 14], {n, 14, 50}] (* Vladimir Joseph Stephan Orlovsky, Apr 22 2011 *)
PROG
(Magma) [ Binomial(n, 14): n in [14..60]]; // Vincenzo Librandi, Mar 26 2011
(PARI) for(n=14, 50, print1(binomial(n, 14), ", ")) \\ G. C. Greubel, Aug 31 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
Some formulas rewritten for the correct offset by R. J. Mathar, Jul 07 2009
STATUS
approved