|
| |
|
|
A010968
|
|
Binomial coefficient C(n,15).
|
|
5
|
|
|
|
1, 16, 136, 816, 3876, 15504, 54264, 170544, 490314, 1307504, 3268760, 7726160, 17383860, 37442160, 77558760, 155117520, 300540195, 565722720, 1037158320, 1855967520, 3247943160, 5567902560, 9364199760, 15471286560, 25140840660, 40225345056, 63432274896
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
15,2
|
|
|
COMMENTS
|
a(n) = -A110555(n+1,15). - Reinhard Zumkeller, Jul 27 2005
In this sequence there are no primes - Artur Jasinski, Dec 02 2007
|
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n = 15..1000
Milan Janjic, Two Enumerative Functions
|
|
|
FORMULA
|
a(n+14)=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)(n+14)/15! - Artur Jasinski, Dec 02 2007, R. J. Mathar, Jul 07 2009
Gf.: x^15/(1-x)^16. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008, R. J. Mathar, Jul 07 2009]
a(n) = n/(n-15) * a(n-1), n>15. - Vincenzo Librandi, Mar 26 2011
|
|
|
MAPLE
|
seq(binomial(n, 15), n=15..37); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 06 2008]
|
|
|
MATHEMATICA
|
Table[Binomial[n, 15], {n, 15, 50}] (* From Vladimir Joseph Stephan Orlovsky, Apr 22 2011 *)
|
|
|
PROG
|
(MAGMA) [ Binomial(n, 15): n in [15..70]]; - Vincenzo Librandi, Mar 26 2011
|
|
|
CROSSREFS
|
Cf. A000581.
Sequence in context: A187175 A059421 A162636 * A223031 A022581 A114182
Adjacent sequences: A010965 A010966 A010967 * A010969 A010970 A010971
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
EXTENSIONS
|
Some formulas adjusted to the offset by R. J. Mathar, Jul 07 2009
|
|
|
STATUS
|
approved
|
| |
|
|