A343329 a(n) is the largest positive integer that is abundant and has the same prime signature as A025610(n) or 0 if no such number exists.

0, 0, 0, 0, 0, 20, 0, 104, 0, 196, 464, 0, 1372, 1952, 0, 15376, 7232, 17576, 0, 119072, 32128, 476656, 0, 1032256, 130304, 7263392, 0, 8064128, 14776336, 522752, 131096512, 0, 66324736, 458066416, 2087936, 2024096128, 0, 533729792, 16649257024, 8382464, 33759290624, 27027081632, 0

Offset

1,6

Comments

a(n) = 0 if A025487(n) is a power of 2 or A025487(n) = 6.

Links

Table of n, a(n) for n=1..43.

Example

a(6) = 20 as A025610(6) = 12 and has prime signature (1, 2) as it is 2^(2) * 3^(1). The largest abundant number with prime signature (1, 2) is 20 = 2^(2) * 5^(1).

Crossrefs

Cf. A005101, A025610.

Sequence in context: A370308 A200430 A084029 * A008426 A055637 A086684

Adjacent sequences: A343326 A343327 A343328 * A343330 A343331 A343332

Keyword

nonn

Author

David A. Corneth, Apr 12 2021

Status

approved