A129655 Numbers that set a new record for number of Fibonacci divisors.

1, 2, 6, 24, 120, 720, 5040, 55440, 720720, 12252240, 232792560, 6750984240, 276790353840, 12732356276640, 523410559111440, 24076885719126240, 1131613628798933280, 100713612963105061920, 20042008979657907322080, 4669788092260292406044640, 1312210453925142166098543840, 414821946023574034721351415840, 116564966832624303756699747851040

Offset

1,2

Comments

From a(1) up to a(14), last known term, this sequence is equivalent to: a(n) is the smallest number that has exactly n Fibonacci divisors (A000045). The products of the new Fibonacci divisors that appear successively are in A349100. - Bernard Schott, Jul 15 2022

References

J. Earls, Red Zen, Lulu Press, NY, 2006, p. 105.

Links

Max Alekseyev, Table of n, a(n) for n = 1..34

David A. Corneth, Some actual values and some upper bounds on a(n), for n=1..134

David A. Corneth, PARI program

Formula

a(n) <= A035105(n+1). - Daniel Suteu, Sep 27 2019

Example

5040 has 60 divisors with 7 of them being Fibonacci numbers, namely 1, 2, 3, 5, 8, 21 and 144.

Crossrefs

Cf. A000045, A005086, A035105, A349100.

Sequence in context: A074166 A130641 A350113 * A114796 A383218 A265086

Adjacent sequences: A129652 A129653 A129654 * A129656 A129657 A129658

Keyword

nonn,changed

Author

Jason Earls, May 19 2007

Extensions

More terms from Donovan Johnson, Feb 26 2008

a(14) from Donovan Johnson, Jul 07 2009

a(15)-a(16) from Robert Israel and a(17)-a(18) from Donovan Johnson confirmed and a(19) added by David A. Corneth, Sep 06 2024

a(20)-a(34) from David A. Corneth confirmed by Max Alekseyev, Jun 23 2026

Status

approved