A109968 - OEIS

A109968

Number of partitions of n into decimal repdigits of distinct digits.

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

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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

Alois P. Heinz, Table of n, a(n) for n = 0..10000

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: A034139 A238886 A060620 * A011872 A056822 A062419

Adjacent sequences: A109965 A109966 A109967 * A109969 A109970 A109971

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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