A164955 Sequence obtained from Fibonacci numbers by taking the factorials of each digit and summing.

1, 1, 1, 2, 6, 120, 40320, 7, 3, 30, 240, 403200, 49, 14, 10086, 722, 408240, 368041, 40466, 40346, 6600, 363626, 10083, 46202, 41790, 5283, 362896, 403946, 45369, 363029, 40354, 364353, 408250, 45632, 90843, 368788, 363040, 50548, 807128, 404792, 281, 41308

Offset: 0

Author

Parthasarathy Nambi, Sep 01 2009

Keywords

• nonn
• look
• base

Comments

There seem to be very few primes in this sequence.

Examples

			a(30) = 8!+3!+2!+0!+4!+0! = 40354 because Fibonacci(30) = 832040.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..10000
• Dario Alpern, Factorization using the Elliptic Curve Method

Crossrefs

Cf. A000045, A000142, A004090, A061602.

Programs

Maple

a:= n-> add(i!, i=convert((<<0|1>, <1|1>>^n)[1,2], base, 10)):
seq(a(n), n=0..42);  # Alois P. Heinz, Jul 09 2023

Mathematica

Total[IntegerDigits[#]!]&/@Fibonacci[Range[0,40]] (* Harvey P. Dale, May 03 2011 *)

Formula

a(n) = A061602(A000045(n)). - Alois P. Heinz, Jul 09 2023

Extensions

Offset corrected and more terms from Alois P. Heinz, Jul 09 2023