|
Search: id:A090364
|
|
|
| A090364 |
|
Convolution of this sequence with its binomial transform equals the second iteration of the binomial transform upon this sequence. |
|
+0
1
|
|
| 1, 1, 3, 13, 79, 633, 6363, 77301, 1102791, 18070705, 334337203, 6890754093, 156506187679, 3882859101289, 104459523189387, 3028574143010661, 94129826448658551, 3121967981131094049, 110053554178639814499
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
G.f.: A(x) = A(x/(1-2x))/A(x/(1-x))*(1-x)/(1-2x).
|
|
PROGRAM
|
(PARI) {a(n)=local(A); if(n<0, 0, A=1+x+x*O(x^n); for(k=1, n, B=subst(A, x, x/(1-x))/(1-x)+x*O(x^n); C=subst(B, x, x/(1-x))/(1-x)+x*O(x^n); A=A-A*B+C); polcoeff(A, n, x))}
|
|
CROSSREFS
|
Adjacent sequences: A090361 A090362 A090363 this_sequence A090365 A090366 A090367
Sequence in context: A062872 A125659 A010844 this_sequence A112935 A074514 A020014
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Nov 26 2003
|
|
|
Search completed in 0.002 seconds
|
