|
Search: id:A145513
|
|
|
| A145513 |
|
Number of partitions of 10^n into powers of 10. |
|
+0
2
|
|
| 1, 2, 12, 562, 195812, 515009562, 10837901390812, 1899421190329234562, 2851206628197445401265812, 37421114946843687272702534859562, 4362395890943439751990308572939648140812
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
See program.
|
|
EXAMPLE
|
a(1) = 2, because there are 2 partitions of 10^1 into powers of 10: 1+1+1+1+1+1+1+1+1+1, 10.
|
|
MAPLE
|
g:= proc(b, n, k) option remember; local t; if b<0 then 0 elif b=0 or n=0 or k<=1 then 1 elif b>=n then add (g(b-t, n, k) *binomial (n+1, t) *(-1)^(t+1), t=1..n+1); else g(b-1, n, k) +g(b*k, n-1, k) fi end: a:= n-> g(1, n, 10): seq (a(n), n=0..13);
|
|
CROSSREFS
|
Cf. 10th column of A145515, A007318.
Adjacent sequences: A145510 A145511 A145512 this_sequence A145514 A145515 A145516
Sequence in context: A013173 A013147 A050643 this_sequence A002860 A108078 A052129
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 11 2008
|
|
|
Search completed in 0.002 seconds
|
