A063477 a(n) is the sum of the divisors of Fibonacci(n) (A000045).

1, 1, 3, 4, 6, 15, 14, 32, 54, 72, 90, 403, 234, 420, 1116, 1536, 1598, 5400, 4332, 12096, 17724, 18000, 28658, 157248, 93062, 122148, 320760, 473760, 514230, 2142720, 1349244, 3391488, 5346540, 5708056, 11924808, 48211200, 24664200

Offset

1,3

Links

Amiram Eldar, Table of n, a(n) for n = 1..1408 (terms 1..1000 from T. D. Noe using Blair Kelly's data)

Blair Kelly, Fibonacci and Lucas Factorizations.

Florian Luca, Arithmetic Functions of Fibonacci Numbers, The Fibonacci Quarterly, Vol. 37, No. 3 (1999), pp. 265-268.

Formula

a(n) = sigma(A000045(n)) = A000203(A000045(n)). - Omar E. Pol, Dec 20 2008

a(n) <= A000045(A000203(n)), with equality if and only if n = 1 or 3 (Luca, 1999). - Amiram Eldar, Jan 12 2022

Mathematica

DivisorSigma[1, Fibonacci@Range@40] (* Vladimir Reshetnikov, Nov 13 2015 *)

Prog

(PARI) j=[]; for(n=1, 50, j=concat(j, sigma(fibonacci(n)))); j
(Sage) [sigma(fibonacci(n), 1) for n in range(1, 38)] # Zerinvary Lajos, Jun 04 2009

Crossrefs

Cf. A000045, A000203.

Sequence in context: A137820 A049892 A346504 * A168219 A129827 A325179

Adjacent sequences: A063474 A063475 A063476 * A063478 A063479 A063480

Keyword

nonn,changed

Author

Jason Earls, Jul 28 2001

Status

approved