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A062010 Numbers which, when expressed in a smaller base, become a factor of themselves. +0
1
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 20, 21, 30, 40, 100, 102, 112, 120, 200, 204, 210, 300, 306, 312, 400, 414, 420, 516, 522, 624, 630, 1000, 1010, 1102, 1120, 1232, 1320, 1344, 1422, 2000, 2223, 2240, 2301, 2310, 3000, 3430, 4000, 10000, 10100, 10101, 10356 (list; graph; listen)
OFFSET

0,2

EXAMPLE

In base 7, 102 is 51, a factor of 102.

MATHEMATICA

dtn[L_, b_] := Fold[b#1+#2&, 0, L] f[n_] := f[n]=Table[dtn[IntegerDigits[n, b], 10], {b, 2, 9}] g[n_] := MemberQ[Flatten[Map[f, Divisors[n]]], n] Select[Range[20000], g]

CROSSREFS

Sequence in context: A003045 A029750 A061920 this_sequence A071218 A017901 A005709

Adjacent sequences: A062007 A062008 A062009 this_sequence A062011 A062012 A062013

KEYWORD

base,easy,nice,nonn

AUTHOR

Erich Friedman (efriedma(AT)stetson.edu), Jun 27 2001

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Last modified March 20 01:21 EDT 2010. Contains 173643 sequences.


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