|
| |
|
|
A023005
|
|
Number of partitions of n into parts of 6 kinds.
|
|
1
|
|
|
|
1, 6, 27, 98, 315, 918, 2492, 6372, 15525, 36280, 81816, 178794, 380051, 788004, 1597725, 3174210, 6190182, 11867310, 22395359, 41650050, 76413078, 138421358, 247783113, 438616728, 768291650, 1332444330, 2289213495, 3898064226
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
COMMENTS
|
a(n) is Euler transform of A010722. [From Alois P. Heinz, Oct 17 2008]
|
|
|
LINKS
|
Table of n, a(n) for n=0..27.
Index entries for expansions of Product_{k >= 1} (1-x^k)^m
N. J. A. Sloane, Transforms [From Alois P. Heinz, Oct 17 2008]
|
|
|
FORMULA
|
G.f.: Product_{m>=1} 1/(1-x^m)^6.
|
|
|
MAPLE
|
with (numtheory): a:=proc(n) option remember; `if`(n=0, 1, add (add (d*6, d=divisors(j)) *a(n-j), j=1..n)/n) end: seq (a(n), n=0..40); [From Alois P. Heinz, Oct 17 2008]
|
|
|
CROSSREFS
|
Cf. 6th column of A144064. [From Alois P. Heinz, Oct 17 2008]
Sequence in context: A160507 A182821 A160533 * A001874 A009061 A012320
Adjacent sequences: A023002 A023003 A023004 * A023006 A023007 A023008
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
David W. Wilson
|
|
|
STATUS
|
approved
|
| |
|
|
