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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
OFFSET
0,4
COMMENTS
There seem to be very few primes in this sequence.
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
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