A037134 Number of ways of writing n as a+b where a is abundant (or perfect), b is deficient (or perfect) and s(a)-a=b-s(b) (s(x)=sigma(x)-x).

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

Offset

1,56

Links

Table of n, a(n) for n=1..102.

Naohiro Nomoto, Sequence of Yin and Yang

Example

E.g. 17=5+12, 5-s(5)=s(12)-12, a(17)=1; 34=6+28, a(34)=1.

Crossrefs

Sequence in context: A369308 A212434 A227186 * A254612 A363886 A227189

Adjacent sequences: A037131 A037132 A037133 * A037135 A037136 A037137

Keyword

nonn

Author

Naohiro Nomoto

Status

approved