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A219112 Numbers that eventually reach 1 under "x -> sum of 5th power of digits of x". 0
1, 10, 100, 1000, 10000, 100000, 1000000, 1111222, 1112122, 1112212, 1112221, 1121122, 1121212, 1121221, 1122112, 1122121, 1122211, 1211122, 1211212, 1211221, 1212112, 1212121, 1212211, 1221112, 1221121, 1221211, 1222111, 2111122, 2111212, 2111221, 2112112 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..31.

EXAMPLE

1112122 is in the sequence because 1^5 +1^5+1^5+2^5+1^5 +2^5+2^5 = 100 and 1^5 + 0^5 + 0^5 = 1.

MATHEMATICA

Select[Range[50000], FixedPoint[Total[IntegerDigits[#]^5]&, #, 10]==1&]

CROSSREFS

Cf. A007770, A035504, A219111.

Sequence in context: A119084 A136875 A135654 * A232661 A029800 A232662

Adjacent sequences:  A219109 A219110 A219111 * A219113 A219114 A219115

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Nov 12 2012

STATUS

approved

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Last modified January 18 10:47 EST 2022. Contains 350454 sequences. (Running on oeis4.)