A164955 - OEIS

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A164955

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

1

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

COMMENTS

There seem to be very few primes in this sequence.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Dario Alpern, Factorization using the Elliptic Curve Method

FORMULA

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

EXAMPLE

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

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 *)

CROSSREFS

Cf. A000045, A000142, A004090, A061602.

Sequence in context: A376866 A264470 A039716 * A060001 A181316 A101753

Adjacent sequences: A164952 A164953 A164954 * A164956 A164957 A164958

KEYWORD

nonn,look,base

AUTHOR

Parthasarathy Nambi, Sep 01 2009

EXTENSIONS

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

STATUS

approved