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A109968 Number of partitions of n into decimal repdigits of distinct digits. 5
1, 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; text; internal format)
OFFSET
0,4
COMMENTS
a(n) <= A109950(n) <= A000009(n);
A109969(n) = a(n+1) - a(n);
all partitions have no 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
Sequence in context: A034139 A238886 A060620 * A011872 A056822 A062419
KEYWORD
nonn,base,look
AUTHOR
Reinhard Zumkeller, Jul 06 2005
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Jan 18 2016
STATUS
approved

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Last modified March 19 03:30 EDT 2024. Contains 370952 sequences. (Running on oeis4.)