A097795 Number of partitions of 2*n into perfect numbers.

0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3

Offset

1,42

Comments

a(n) = A097796(2*n).

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Perfect Number

Eric Weisstein's World of Mathematics, Partition

Example

a(45)=2: 2*45 = 90 = 15*6 = 15*A000396(1) = 3*28 + 1*6 = 3*A000396(2) + 1*A000396(1).

Crossrefs

Cf. A000396, A000041, A058696, A080225.

Sequence in context: A115570 A069288 A152831 * A161076 A161115 A161050

Adjacent sequences: A097792 A097793 A097794 * A097796 A097797 A097798

Keyword

nonn

Author

Reinhard Zumkeller, Aug 25 2004

Status

approved