|
| |
|
|
A023020
|
|
Number of partitions of n into parts of 22 kinds.
|
|
1
| |
|
|
1, 22, 275, 2530, 18975, 122430, 702328, 3661900, 17627775, 79264900, 335937954, 1351507830, 5191041625, 19125838600, 67862904725, 232671319474, 773027485065, 2494957906100, 7839428942950, 24025993453000, 71941861591215
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| a(n) is Euler transform of A010861. [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)^22.
|
|
|
MAPLE
| with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*22, 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. 22th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]
Sequence in context: A055756 A128766 A125434 * A022650 A172226 A004316
Adjacent sequences: A023017 A023018 A023019 * A023021 A023022 A023023
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| David W. Wilson (davidwwilson(AT)comcast.net)
|
| |
|
|
