A061828 Number of partitions of n into parts using the digits of n.

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, 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, 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

Offset: 1

Author

Amarnath Murthy, May 28 2001

Keywords

• nonn
• base
• easy

Examples

			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.
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.
		

Crossrefs

Cf. A061827.

Extensions

More terms from David Wasserman, Sep 01 2002