|
| |
|
|
A064985
|
|
Number of partitions of n into factorial parts ( 0! allowed ).
|
|
2
| |
|
|
1, 2, 4, 6, 9, 12, 17, 22, 29, 36, 45, 54, 66, 78, 93, 108, 126, 144, 166, 188, 214, 240, 270, 300, 336, 372, 414, 456, 504, 552, 608, 664, 728, 792, 864, 936, 1018, 1100, 1192, 1284, 1386, 1488, 1602, 1716, 1842, 1968, 2106, 2244, 2397, 2550, 2718, 2886
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
FORMULA
| G.f.: 1/(Product_{i=1..infinity} (1-x^(i!)))/(1-x).
|
|
|
EXAMPLE
| a(3)=6 because we can write 3 = 2!+1! = 2!+0! = 1!+1!+1! = 0!+0!+0! = 1!+1!+0! = 1!+0!+0!.
|
|
|
CROSSREFS
| Cf. A064986.
Sequence in context: A080548 A194450 A080556 * A090631 A001365 A102379
Adjacent sequences: A064982 A064983 A064984 * A064986 A064987 A064988
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Naohiro Nomoto (n_nomoto(AT)yabumi.com), Oct 30 2001
|
|
|
EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs) and Don Reble (djr(AT)nk.ca), Nov 02 2001
|
| |
|
|
