login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A064985 Number of partitions of n into factorial parts ( 0! allowed ). 3
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; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

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!.

MATHEMATICA

nn=51; CoefficientList[Series[Product[1/(1-x^(i!)), {i, 0, 10}], {x, 0, nn}], x] (* Geoffrey Critzer, Sep 29 2013 *)

CROSSREFS

Cf. A064986.

Sequence in context: A194450 A080556 A229093 * A090631 A001365 A102379

Adjacent sequences:  A064982 A064983 A064984 * A064986 A064987 A064988

KEYWORD

easy,nonn

AUTHOR

Naohiro Nomoto, Oct 30 2001

EXTENSIONS

More terms from Vladeta Jovovic and Don Reble (djr(AT)nk.ca), Nov 02 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 26 05:57 EST 2014. Contains 250020 sequences.