cp's OEIS Frontend

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

%I A129655 #66 Sep 10 2024 11:04:16
%S A129655 1,2,6,24,120,720,5040,55440,720720,12252240,232792560,6750984240,
%T A129655 276790353840,12732356276640,523410559111440,24076885719126240,
%U A129655 1131613628798933280,100713612963105061920,20042008979657907322080
%N A129655 Numbers that set a new record for number of Fibonacci divisors.
%C A129655 From _Donovan Johnson_, Jul 07 2009: (Start)
%C A129655 a(15) <= 598420745002080,
%C A129655 a(16) <= 36503665445126880,
%C A129655 a(17) <= 1131613628798933280,
%C A129655 a(18) <= 100713612963105061920. (End)
%C A129655 From _Robert Israel_, Sep 26 2019: (Start)
%C A129655 a(15) <= 523410559111440,
%C A129655 a(16) <= 24076885719126240. (End)
%C A129655 From _David A. Corneth_, Sep 27 2019: (Start)
%C A129655 a(19) <= 20042008979657907322080,
%C A129655 a(20) <= 4669788092260292406044640,
%C A129655 a(21) <= 1312210453925142166098543840,
%C A129655 a(22) <= 414821946023574034721351415840,
%C A129655 a(23) <= 116564966832624303756699747851040,
%C A129655 a(24) <= 37417354353272401505900619060183840,
%C A129655 a(25) <= 19494441618054921184574222530355780640,
%C A129655 a(26) <= 31132623264033709131765033380978181682080,
%C A129655 a(27) <= 67277598873576845433744237136293850614974880. (End)
%C A129655 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
%D A129655 J. Earls, Red Zen, Lulu Press, NY, 2006, p. 105.
%H A129655 David A. Corneth, <a href="/A129655/a129655_1.gp.txt">Some actual values and some upper bounds on a(n), for n=1..134</a>
%H A129655 David A. Corneth, <a href="/A129655/a129655_2.gp.txt">PARI program</a>
%F A129655 a(n) <= A035105(n+1). - _Daniel Suteu_, Sep 27 2019
%e A129655 5040 has 60 divisors with 7 of them being Fibonacci numbers, namely 1, 2, 3, 5, 8, 21 and 144.
%Y A129655 Cf. A000045, A005086, A035105, A349100.
%K A129655 nonn,more
%O A129655 1,2
%A A129655 _Jason Earls_, May 19 2007
%E A129655 More terms from _Donovan Johnson_, Feb 26 2008
%E A129655 a(14) from _Donovan Johnson_, Jul 07 2009
%E A129655 a(15)-a(19) confirmed by _David A. Corneth_, Sep 06 2024