|
Search: id:A023005
|
|
|
| A023005 |
|
Number of partitions of n into parts of 6 kinds. |
|
+0
2
|
|
| 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; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
a(n) is Euler transform of A010722. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
|
|
LINKS
|
Index entries for expansions of Product_{k >= 1} (1-x^k)^m
N. J. A. Sloane, Transforms [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), 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 (heinz(AT)hs-heilbronn.de), Oct 17 2008]
|
|
CROSSREFS
|
Cf. 6th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
Sequence in context: A001940 A121591 A071734 this_sequence A001874 A009061 A012320
Adjacent sequences: A023002 A023003 A023004 this_sequence A023006 A023007 A023008
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
David W. Wilson (davidwwilson(AT)comcast.net)
|
|
|
Search completed in 0.002 seconds
|
