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A109968 Number of partitions of n into decimal repdigits of distinct digits.

%I A109968 #11 Feb 16 2025 08:32:58
%S A109968 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,
%T A109968 32,32,31,32,31,32,29,31,29,30,28,28,28,27,29,27,28,26,30,28,30,29,30,
%U A109968 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
%N A109968 Number of partitions of n into decimal repdigits of distinct digits.
%C A109968 a(n) <= A109950(n) <= A000009(n);
%C A109968 A109969(n) = a(n+1) - a(n);
%C A109968 all partitions have no more than 9 parts.
%H A109968 Alois P. Heinz, <a href="/A109968/b109968.txt">Table of n, a(n) for n = 0..10000</a>
%H A109968 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Repdigit.html">Repdigit</a>
%H A109968 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Partition.html">Partition</a>
%e A109968 a(60)=38: 60 = 55+4+1 = 55+3+2 = 44+11+5 = 44+11+3+2 =
%e A109968 44+9+7 = 44+9+6+1 = 44+9+5+2 = 44+8+7+1 = 44+8+6+2 =
%e A109968 44+8+5+3 = 44+8+5+2+1 = 44+7+6+3 = 44+7+6+2+1 = 44+7+5+3+1 =
%e A109968 44+6+5+3+2 = 33+22+5 = 33+22+4+1 = 33+11+9+7 = 33+11+9+5+2 =
%e A109968 33+11+8+6+2 = 33+11+7+5+4 = 33+9+8+7+2+1 = 33+9+8+6+4 =
%e A109968 33+9+8+5+4+1 = 33+9+7+6+5 = 33+9+7+6+4+1 = 33+9+7+5+4+2 =
%e A109968 33+9+6+5+4+2+1 = 33+8+7+6+5+1 = 33+8+7+6+4+2 =
%e A109968 33+8+7+5+4+2+1 = 22+11+9+8+7+3 = 22+11+9+8+6+4 =
%e A109968 22+11+9+7+6+5 = 22+11+9+6+5+4+3 = 22+11+8+7+5+4+3 =
%e A109968 22+9+8+7+6+5+3 = 22+9+8+7+6+4+3+1.
%Y A109968 Cf. A088670, A088669, A010785.
%K A109968 nonn,base,look
%O A109968 0,4
%A A109968 _Reinhard Zumkeller_, Jul 06 2005
%E A109968 a(0)=1 prepended by _Alois P. Heinz_, Jan 18 2016