|
Search: id:A004301
|
|
|
| A004301 |
|
Second-order Eulerian numbers.
(Formerly M4265)
|
|
+0
3
|
|
| 0, 6, 58, 328, 1452, 5610, 19950, 67260, 218848, 695038, 2170626, 6699696, 20507988, 62407890, 189123286, 571432036, 1722945672, 5187185766, 15600353130
(list; graph; listen)
|
|
|
OFFSET
|
2,2
|
|
|
REFERENCES
|
I. Gessel and R. P. Stanley, Stirling polynomials, J. Combin. Theory, A 24 (1978), 24-33.
R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 256.
|
|
FORMULA
|
G.f.: x^3(6-2x-12x^2)/((1-x)^3(1-2x)^2(1-3x)). a(n)=A008517(n, 3)=(9*3^n-(12+8*n)*2^n+(3+6*n+4*n^2))/2.. - Michael Somos, Oct 13, 2002
|
|
PROGRAM
|
(PARI) a(n)=if(n<0, 0, (9*3^n-(12+8*n)*2^n+(3+6*n+4*n^2))/2)
|
|
CROSSREFS
|
Sequence in context: A032119 A034218 A034237 this_sequence A073848 A141382 A034982
Adjacent sequences: A004298 A004299 A004300 this_sequence A004302 A004303 A004304
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas, Mira Bernstein, Robert G. Wilson v (rgwv(AT)rgwv.com)
|
|
|
Search completed in 0.002 seconds
|
