|
| |
|
|
A144068
|
|
Euler transform of powers of 4.
|
|
1
| |
|
|
1, 4, 26, 148, 843, 4632, 25124, 133784, 703553, 3655340, 18800886, 95819580, 484416675, 2431094352, 12120072472, 60058765072, 295959923287, 1450980481036, 7079894939166, 34393241899772, 166390593502701, 801877654792696, 3850469199935412
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
LINKS
| N. J. A. Sloane, Transforms
|
|
|
FORMULA
| Product_{j>0} 1/(1-x^j)^(4^j).
|
|
|
MAPLE
| with (numtheory): etr:= proc(p) local b; b:=proc(n) option remember; `if`(n=0, 1, add (add (d*p(d), d=divisors(j)) *b(n-j), j=1..n)/n) end end: a:=n-> etr(j->4^j)(n): seq (a(n), n=0..40);
|
|
|
CROSSREFS
| 4th column of A144074.
Sequence in context: A197964 A100236 A180226 * A204062 A121767 A092167
Adjacent sequences: A144065 A144066 A144067 * A144069 A144070 A144071
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 09 2008
|
| |
|
|
