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A028891
Iterated product of digits of n is a positive Fibonacci number.
3
1, 2, 3, 5, 8, 11, 12, 13, 15, 18, 21, 24, 26, 29, 31, 34, 35, 36, 37, 38, 42, 43, 46, 49, 51, 53, 57, 62, 63, 64, 66, 67, 73, 75, 76, 77, 79, 81, 83, 88, 92, 94, 97, 99, 111, 112, 113, 115, 118, 121, 124, 126, 129, 131, 134, 135, 136, 137, 138, 142, 143, 146, 149, 151
OFFSET
0,2
LINKS
EXAMPLE
149 -> 1*4*9 = 36 -> 3*6 = 18 -> 1*8 = 8 is a Fibonacci number.
MATHEMATICA
ipdfQ[n_]:=Module[{pd=NestWhile[Times@@IntegerDigits[#]&, n, #>9&]}, MemberQ[ {1, 2, 3, 5, 8}, pd]]; Select[Range[200], ipdfQ] (* Harvey P. Dale, Mar 10 2016 *)
CROSSREFS
KEYWORD
nonn,base
EXTENSIONS
Extended (and corrected) by Patrick De Geest, Jun 15 1999
STATUS
approved