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

Author

Reinhard Zumkeller, Aug 25 2004

Keywords

• nonn

Comments

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

Examples

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

Links

• Eric Weisstein's World of Mathematics, Perfect Number
• Eric Weisstein's World of Mathematics, Partition

Crossrefs

Cf. A000396, A000041, A058696, A080225.