A154908 Highly composite Fibonacci numbers.

1, 2, 8, 144, 2584, 46368, 14930352, 4807526976, 1548008755920, 498454011879264, 160500643816367088, 2880067194370816120, 51680708854858323072, 16641027750620563662096, 5358359254990966640871840

Offset

1,2

Comments

Positive Fibonacci numbers with record values for the number of divisors.

Links

Amiram Eldar, Table of n, a(n) for n = 1..33

Example

144 is in the sequence because it is a Fibonacci number with 15 divisors and all smaller Fibonacci numbers have fewer divisors. - Emeric Deutsch, Jan 20 2009

Maple

with(numtheory): with(combinat): a := proc (n) if n = 1 then 1 else if max(seq(tau(fibonacci(j)), j = 1 .. n-1)) < tau(fibonacci(n)) then fibonacci(n) else end if end if end proc: seq(a(n), n = 1 .. 170); # Emeric Deutsch, Jan 20 2009

Crossrefs

Cf. A000005, A000045, A002182, A063375, A154906, A154907.

Sequence in context: A140050 A318038 A304798 * A166356 A009817 A124105

Adjacent sequences: A154905 A154906 A154907 * A154909 A154910 A154911

Keyword

nonn

Author

Omar E. Pol, Jan 18 2009, Jan 20 2009

Extensions

Extended by Emeric Deutsch, Jan 20 2009

Status

approved