A135968 Sum of the distinct prime factors of the Fibonacci number A050937(n).

0, 150, 2974, 2443, 62158, 55946694, 2710261050, 555008010, 1547031, 46165377746, 95396546, 92180471494910, 1665088321801550, 364125780, 771601497990, 518283023, 8242065051309594, 32530503217194, 272602401466814027806, 5568053048227732238014, 85526725052226871

Offset: 1

Author

Artur Jasinski, Dec 09 2007

Keywords

• nonn

Examples

			a(2) = 150 = 37+113 because A050937(2) = 4181 = 37*113.
a(3) = 2974 = 557 + 2417 because A050937(3) = 1346269 = 557*2417.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..203

Crossrefs

Cf. A000045, A001605, A008472, A050937, A075737, A090819, A134787, A134851, A134852, A135953, A135954, A135955, A135956, A135957, A135958, A135959, A135969.

Programs

Mathematica

k = {}; Do[If[ ! PrimeQ[Fibonacci[Prime[n]]], b = FactorInteger[Fibonacci[Prime[n]]]; c =Length[FactorInteger[b]]; d = 0; Do[d = d + b[[r]][[1]], {r, 1, c}]; AppendTo[k, d]], {n, 1, 50}]; k

Formula

a(n) = A008472(A050937(n)). - R. J. Mathar, Dec 12 2007

Extensions

Edited by R. J. Mathar, Dec 12 2007

a(19)-a(21) from Amiram Eldar, Oct 13 2024