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

Offset: 0

Author

Reinhard Zumkeller, Jul 06 2005

Keywords

• nonn
• base
• look

Comments

a(n) <= A109950(n) <= A000009(n);

A109969(n) = a(n+1) - a(n);

all partitions have no more than 9 parts.

Examples

			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.
		

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

Crossrefs

Cf. A088670, A088669, A010785.

Extensions

a(0)=1 prepended by Alois P. Heinz, Jan 18 2016