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

1,10

Links

Table of n, a(n) for n=1..96.

Example

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.

Sequence in context: A238452 A103238 A119999 * A370832 A086535 A344601

Adjacent sequences: A061825 A061826 A061827 * A061829 A061830 A061831

Keyword

nonn,base,easy

Author

Amarnath Murthy, May 28 2001

Extensions

More terms from David Wasserman, Sep 01 2002

Status

approved