A076964 a(1) = 3, then a(n) = smallest multiple of the previous term with as many divisors.

3, 9, 36, 1260, 908107200, 43468142423564473939246248742562061499584000000

Offset

1,1

Comments

If the first conjecture in A262981 from Vladimir Letsko is true, then this is also: a(2) = 9, thereafter a(n+1) = least k with a(n) divisors. - Jianing Song, May 31 2026

Links

Table of n, a(n) for n=1..6.

Example

a(2) = 9 tau(9) = 3, a(3) = 36 tau(36) = 9 etc.

Crossrefs

Cf. trajectory of k->A005179(k): A009287 (starting with 3), A396627 (starting with 5), A037025 (starting with 8).

Sequence in context: A128094 A135474 A279121 * A034808 A018398 A197309

Adjacent sequences: A076961 A076962 A076963 * A076965 A076966 A076967

Keyword

nonn,hard,changed

Author

Amarnath Murthy, Oct 21 2002

Extensions

Corrected and extended by Sascha Kurz, Jan 22 2003

Offset corrected by Sean A. Irvine, Apr 24 2025

Status

approved