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

Author

David A. Corneth, Apr 12 2021

Keywords

• nonn

Comments

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

Examples

			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.