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A088670
Number of partitions of n into distinct decimal repdigit numbers.
7
1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 17, 19, 21, 23, 26, 27, 30, 32, 34, 36, 37, 39, 40, 42, 42, 44, 44, 45, 45, 47, 47, 47, 49, 48, 50, 50, 52, 52, 55, 55, 58, 60, 60, 64, 65, 68, 69, 73, 73, 77, 78, 82, 84, 84, 88, 88, 92, 92, 96, 96, 100, 100, 105, 107, 107, 113
OFFSET
0,4
COMMENTS
a(n) <= A000009(n).
Not the same as A091581: a(n) < A091581(n) for n > 101.
A109967(n) = a(n+1) - a(n). - Reinhard Zumkeller, Jul 06 2005
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..20000 (first 1001 terms from Reinhard Zumkeller)
Eric Weisstein's World of Mathematics, Repdigit
Eric Weisstein's World of Mathematics, Partition
PROG
(Haskell)
a088670 = p $ tail a010785_list where
p _ 0 = 1
p (k:ks) m = if m < k then 0 else p ks (m - k) + p ks m
-- Reinhard Zumkeller, Dec 10 2011
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Oct 03 2003
EXTENSIONS
a(0)=1 added and offset adjusted by Reinhard Zumkeller, Dec 10 2011
STATUS
approved