|
| |
|
|
A136729
|
|
E.g.f.: A(x) = [ exp(x)/(5 - 4*exp(x)) ]^(1/5).
|
|
3
| |
|
|
1, 1, 5, 49, 701, 13177, 306821, 8520289, 274808525, 10095533833, 416131518293, 19017974164465, 954399901374749, 52173428322993433, 3085965087129209381, 196360349627069553793, 13374490368820471936109, 970904530181260115741737
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
FORMULA
| E.g.f. A(x) satisfies: A(x) = 1 + integral( A(x)^6 * exp(-x) ).
O.g.f.: 1/(1 - x/(1-4*x/(1 - 6*x/(1-8*x/(1 - 11*x/(1-16*x/(1 - 16*x/(1-24*x/(1 - 21*x/(1-32*x/(1 - ...)))))))))), a continued fraction.
|
|
|
PROG
| (PARI) {a(n)=n!*polcoeff((exp(x +x*O(x^n))/(5-4*exp(x +x*O(x^n))))^(1/5), n)} (PARI) /* As solution to integral equation: */ {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=1+intformal(A^6*exp(-x+x*O(x^n)))); n!*polcoeff(A, n)}
|
|
|
CROSSREFS
| Cf. variants: A014307, A136727, A136728.
Sequence in context: A116873 A089914 A052142 * A102773 A028575 A006554
Adjacent sequences: A136726 A136727 A136728 * A136730 A136731 A136732
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jan 24 2008
|
| |
|
|
