|
| |
|
|
A109968
|
|
Number of partitions of n into decimal repdigits of distinct digits.
|
|
4
| |
|
|
1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 16, 18, 20, 21, 24, 24, 27, 27, 30, 30, 30, 31, 32, 32, 31, 32, 31, 32, 29, 31, 29, 30, 28, 28, 28, 27, 29, 27, 28, 26, 30, 28, 30, 29, 30, 30, 31, 31, 32, 35, 31, 38, 33, 35, 34, 36, 38, 39, 38, 37, 39, 38, 43, 40, 44, 42, 44, 43, 44, 44
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| a(n) <= A109950(n) <= A000009(n);
A109969(n) = a(n+1) - a(n);
all partitions have not more than 9 parts.
|
|
|
LINKS
| Eric Weisstein's World of Mathematics, Repdigit
Eric Weisstein's World of Mathematics, Partition
|
|
|
EXAMPLE
| a(60)=38: 60 = 55+4+1 = 55+3+2 = 44+11+5 = 44+11+3+2 =
44+9+7 = 44+9+6+1 = 44+9+5+2 = 44+8+7+1 = 44+8+6+2 =
44+8+5+3 = 44+8+5+2+1 = 44+7+6+3 = 44+7+6+2+1 = 44+7+5+3+1 =
44+6+5+3+2 = 33+22+5 = 33+22+4+1 = 33+11+9+7 = 33+11+9+5+2 =
33+11+8+6+2 = 33+11+7+5+4 = 33+9+8+7+2+1 = 33+9+8+6+4 =
33+9+8+5+4+1 = 33+9+7+6+5 = 33+9+7+6+4+1 = 33+9+7+5+4+2 =
33+9+6+5+4+2+1 = 33+8+7+6+5+1 = 33+8+7+6+4+2 =
33+8+7+5+4+2+1 = 22+11+9+8+7+3 = 22+11+9+8+6+4 =
22+11+9+7+6+5 = 22+11+9+6+5+4+3 = 22+11+8+7+5+4+3 =
22+9+8+7+6+5+3 = 22+9+8+7+6+4+3+1.
|
|
|
CROSSREFS
| Cf. A088670, A088669, A010785.
Sequence in context: A125573 A034139 A060620 * A011872 A056822 A062419
Adjacent sequences: A109965 A109966 A109967 * A109969 A109970 A109971
|
|
|
KEYWORD
| nonn,base
|
|
|
AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 06 2005
|
| |
|
|
