A087902 Least m such that A080256(m)=n and has a maximum number A000792(n) of divisors.

2, 4, 6, 12, 36, 60, 180, 900, 1260, 6300, 44100, 69300, 485100, 5336100, 6306300, 69369300, 901800900, 1179278100, 15330615300, 260620460100, 291281690700, 4951788741900, 94083986096100, 113891141063700, 2163931680210300

Offset

2,1

Comments

Omega(m)=A004523(n+1).

Links

Table of n, a(n) for n=2..26.

Example

a(6): The numbers m with A080256(m) = 6 are 24, 30, 32, 36, 40..., with number of divisors 8, 8, 6, 9, 8.... None of these have more than A000792(6) = 9 divisors and 36 is the first that has 9, so a(6) = 36.

Prog

(PARI) a(n) = local(x); x = (n + 2)\3; prod(i = 1, x, prime(i)^2)/if (n%3 == 1, prime(x)*prime(x - 1), if (n%3, prime(x), 1)); \\ David Wasserman, Jun 17 2005

Crossrefs

Sequence in context: A308618 A283021 A309039 * A282193 A180213 A081457

Adjacent sequences: A087899 A087900 A087901 * A087903 A087904 A087905

Keyword

nonn

Author

Lekraj Beedassy, Oct 14 2003

Extensions

More terms from David Wasserman, Jun 17 2005

Status

approved