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 A032543 Numbers n which when expressed in base 5 and then interpreted in base 10 give a multiple of n. 3
 0, 1, 2, 3, 4, 5, 10, 15, 20, 25, 50, 75, 100, 125, 160, 224, 237, 250, 320, 330, 375, 490, 500, 625, 800, 1000, 1120, 1185, 1250, 1600, 1650, 1875, 2450, 2500, 3125, 3800, 4000, 4704, 5000, 5600, 5925, 6250, 7600, 8000, 8250, 9375, 10000, 12250 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS From Robert Israel, Apr 10 2016: (Start) n for which n divides A007091(n). If n is in the sequence, then so is 5*n. (End) LINKS Robert Israel, Table of n, a(n) for n = 1..147 EXAMPLE 25 in base 5 is 100, which interpreted in base 10 is 100 = 4 * 25. 224 in base 5 is 1344, which interpreted in base 10 is 1344 = 6 * 224. MAPLE filter:= proc(n) local L, i; L:= convert(n, base, 5); add(L[i]*10^(i-1), i=1..nops(L)) mod n = 0 end proc: 0, op(select(filter, [\$1..10^5])); # Robert Israel, Apr 10 2016 MATHEMATICA Select[Range[0, 13000], Divisible[FromDigits[IntegerDigits[#, 5]], #] &] (* Harvey P. Dale, Feb 01 2011 *) CROSSREFS Cf. A007091, A032542, A032544. Sequence in context: A076707 A032940 A064419 * A140730 A273732 A282032 Adjacent sequences:  A032540 A032541 A032542 * A032544 A032545 A032546 KEYWORD nonn,base AUTHOR Patrick De Geest, Apr 1998 EXTENSIONS Example and better description from Erich Friedman, Jul 21 2001 Edited by Erich Friedman, Feb 09 2002 Offset changed and 0 inserted by Robert Israel, Apr 11 2016 STATUS approved

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Last modified June 20 05:01 EDT 2019. Contains 324229 sequences. (Running on oeis4.)