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A010967 a(n) = binomial coefficient C(n,14). 8
1, 15, 120, 680, 3060, 11628, 38760, 116280, 319770, 817190, 1961256, 4457400, 9657700, 20058300, 40116600, 77558760, 145422675, 265182525, 471435600, 818809200, 1391975640, 2319959400, 3796297200, 6107086800, 9669554100, 15084504396, 23206929840, 35240152720 (list; graph; refs; listen; history; text; internal format)
OFFSET
14,2
COMMENTS
In this sequence there are no primes. - Artur Jasinski, Dec 02 2007
LINKS
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.
Sum_{n>=14} (-1)^n/a(n) = A001787(14)*log(2) - A242091(14)/13! = 114688*log(2) - 102309709/1287 = 0.9404563356... (End)
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
Sequence in context: A126898 A162635 A247612 * A022580 A321950 A081079
KEYWORD
nonn
AUTHOR
EXTENSIONS
Some formulas rewritten for the correct offset by R. J. Mathar, Jul 07 2009
STATUS
approved

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Last modified May 18 03:12 EDT 2024. Contains 372617 sequences. (Running on oeis4.)