|
Search: id:A159602
|
|
|
| A159602 |
|
G.f.: A(x) = Sum_{n>=0} log(1 + x/(1-2^n*x))^n/n!. |
|
+0
1
|
|
| 1, 1, 2, 6, 26, 152, 1202, 12840, 184060, 3552960, 92338448, 3237738008, 153574021372, 9872941474544, 862850471831896, 102720981260693424, 16701084112350547436, 3715705202756433837504, 1133547354784950481434016
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
EXAMPLE
|
G.f.: A(x) = 1 + x + 2*x^2 + 6*x^3 + 26*x^4 + 152*x^5 +...
A(x) = Sum_{n>=0} log(1 + x + 2^n*x^2 + 4^n*x^3 + 8^n*x^4 +..)^n/n!.
A(x) = 1 + log(1+x/(1-2x)) + log(1+x/(1-4x))^2/2! + log(1+x/(1-8x))^3/3! +...
|
|
PROGRAM
|
(PARI) {a(n)=polcoeff(sum(m=0, n, log(1+x/(1-2^m*x+x*O(x^n)))^m/m!), n)}
|
|
CROSSREFS
|
Sequence in context: A000629 A032187 A003659 this_sequence A032271 A107104 A141761
Adjacent sequences: A159599 A159600 A159601 this_sequence A159603 A159604 A159605
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), May 08 2009
|
|
|
Search completed in 0.002 seconds
|
