|
Search: id:A143921
|
|
|
| A143921 |
|
E.g.f. A(x) satisfies: A(x) = exp(x + x*Integral A(x) dx). |
|
+0
1
|
|
| 1, 1, 3, 10, 49, 281, 1975, 15933, 147457, 1528282, 17603351, 222691261, 3072168481, 45882929925, 737717712439, 12703639993306, 233281370579713, 4550465650811445, 93966210612477271, 2047838398486924977
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
E.g.f. A(x) satisfies: log(A(x)) = x*A'(x)/A(x) - x^2*A(x).
|
|
EXAMPLE
|
E.g.f. A(x) = 1 + x + 3*x^2/2! + 10*x^3/3! + 49*x^4/4! + 281*x^5/5! +...
log(A(x)) = x + x^2 + x^3/2! + 3*x^4/3! + 10*x^5/4! + 49*x^6/5! +...
A'(x)/A(x) = 1 + 2*x + 3*x^2/2! + 12*x^3/3! + 50*x^4/4! + 294*x^5/5! +...
|
|
PROGRAM
|
(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(i=0, n, A=exp(x+x*intformal(A))); n!*polcoeff(A, n)}
|
|
CROSSREFS
|
Sequence in context: A105748 A140964 A005921 this_sequence A082426 A054381 A102088
Adjacent sequences: A143918 A143919 A143920 this_sequence A143922 A143923 A143924
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Sep 06 2008
|
|
|
Search completed in 0.002 seconds
|
