|
| |
|
|
A039619
|
|
Second column of Jabotinsky-triangle A038455 related to A006963.
|
|
2
| |
|
|
1, 9, 107, 1650, 31594, 725592, 19471500, 598482000, 20742534576, 800575997760, 34059828307680, 1583808130195200, 79925022369273600, 4350478314951982080, 254086498336122950400, 15849890120755311667200
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 2,2
|
|
|
COMMENTS
| Explicit formula using partitions of n into 2 parts: cf. Knuth's paper for f(n,2), n >= 2, formula with f(k) as given above.
|
|
|
REFERENCES
| D. E. Knuth, Convolution polynomials, The Mathematica J., 2.1 (1992) 67-78.
|
|
|
FORMULA
| a(n) = sum(binomial(n-1, j-1)*f(j)*f(n-j), j=1..n-1) with f(k) := A006963(k+1) = (2*k+1)!/k!, k >= 1.
E.g.f.: ln((1-sqrt(1-4*x))/x/2)^2/2. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 02 2003
|
|
|
CROSSREFS
| A006963, A038455.
Cf. A039646.
Sequence in context: A012485 A052503 A122569 * A080505 A104224 A099676
Adjacent sequences: A039616 A039617 A039618 * A039620 A039621 A039622
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
|
| |
|
|
