|
Search: id:A130689
|
|
|
| A130689 |
|
Number of partitions of n such that every part divides the largest part. |
|
+0
1
|
|
| 1, 1, 2, 3, 5, 6, 10, 11, 16, 19, 26, 28, 41, 43, 56, 65, 82, 88, 115, 122, 155, 174, 209, 225, 283, 305, 363, 402, 477, 514, 622, 666, 783, 858, 990, 1078, 1268, 1362, 1561, 1708, 1958, 2111, 2433, 2613, 2976, 3247, 3652, 3938, 4482, 4821, 5422
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
G.f.: Sum_{n>=0} x^n/Product_{d divides n} (1-x^d).
|
|
EXAMPLE
|
For n =6 we have 10 such partitions: [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 2],
[1, 1, 2, 2], [2, 2, 2], [1, 1, 1, 3], [3, 3], [1, 1, 4], [2, 4], [1, 5], [6].
|
|
CROSSREFS
|
Cf. A018818, A083710, A097986, A117086.
Sequence in context: A003238 A051839 A130714 this_sequence A024560 A000039 A053436
Adjacent sequences: A130686 A130687 A130688 this_sequence A130690 A130691 A130692
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 01 2007
|
|
|
Search completed in 0.002 seconds
|
