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A028891 Iterated product of digits of n is a 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

EXAMPLE

E.g. 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

Cf. A031347, A028890, A028841.

Sequence in context: A063178 A280205 A276731 * A028890 A189716 A002480

Adjacent sequences:  A028888 A028889 A028890 * A028892 A028893 A028894

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Extended (and corrected) by Patrick De Geest, Jun 15 1999.

STATUS

approved

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Last modified March 24 00:12 EDT 2019. Contains 321444 sequences. (Running on oeis4.)