A061828 - OEIS

%I #6 Dec 05 2013 19:54:52

%S 1,1,1,1,1,1,1,1,1,2,2,8,6,5,5,4,4,4,4,2,17,2,5,8,4,6,3,5,3,2,21,9,2,

%T 4,4,8,3,3,6,2,23,17,6,2,4,5,3,8,3,2,27,11,7,5,2,3,3,3,3,2,28,21,17,9,

%U 4,2,3,4,5,2,30,12,7,5,4,3,2,3,3,2,32,23,7,17,4,6,3,2,3,2,33,13,21,6,5,9

%N Number of partitions of n into parts using the digits of n.

%e a(20) = 2, the only partitions permitted are 20 and 2+2+2...ten times. a(21) = 16, 5 more than A061827 as the partition 12 + 2+2+2+2+1 etc. ( 5 in number) are also considered.

%e a(21) = 17. The allowed parts are 1, 2, 12 and 21. The 17 sums are 21, 12+2+2+2+2+1, 12+2+2+2+1+1+1, 12+2+2+1+1+1+1+1, 12+2+1+1+1+1+1+1+1, 12+1+1+1+1+1+1+1+1+1+1 and 11 more involving only 1 and 2.

%Y Cf. A061827.

%K nonn,base,easy

%O 1,10

%A _Amarnath Murthy_, May 28 2001

%E More terms from _David Wasserman_, Sep 01 2002