|
Search: id:A001707
|
|
|
| A001707 |
|
Generalized Stirling numbers.
(Formerly M4947 N2119)
|
|
+0
2
|
|
| 1, 14, 155, 1665, 18424, 214676, 2655764, 34967140, 489896616, 7292774280, 115119818736, 1922666722704, 33896996544384, 629429693586048, 12283618766690304, 251426391808144896, 5387217520095244800
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
Mitrinovic, D. S.; Mitrinovic, R. S.; Tableaux d'une classe de nombres relies aux nombres de Stirling. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 77 1962, 77 pp.
|
|
FORMULA
|
E.g.f.: - ln ( 1 - x )^3 / 6 ( x - 1 )^2.
a(n)=sum((-1)^(n+k)*binomial(k+3, 3)*2^k*stirling1(n+3, k+3), k=0..n). - Borislav Crstici (bcrstici(AT)etv.utt.ro), Jan 26 2004
|
|
CROSSREFS
|
Sequence in context: A125426 A004986 A006865 this_sequence A078999 A016157 A122187
Adjacent sequences: A001704 A001705 A001706 this_sequence A001708 A001709 A001710
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
More terms from Borislav Crstici (bcrstici(AT)etv.utt.ro), Jan 26 2004
|
|
|
Search completed in 0.002 seconds
|
