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 A164836 a(n) is the number such that every k-digit substring ( k <= n ) taken from the right end, is divisible by k. 3
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..69. EXAMPLE 144 is a member of the sequence since 4 is divisible by 1, 44 is divisible by 2 and 144 is divisible by 3. For 30-digit number 177723702519951630930135507600 we have: 1 | 0, 2 | 0, 3 | 600, 4 | 7600, 5 | 7600, 6 | 507600, ... [Jaroslav Krizek, Feb 19 2010] MATHEMATICA ekdsQ[n_]:=Module[{idn=IntegerDigits[n]}, And@@Table[Divisible[ FromDigits[ Take[ idn, -k]], k], {k, IntegerLength[n]}]]; Select[Range[0, 200], ekdsQ] (* Harvey P. Dale, Nov 11 2017 *) CROSSREFS Sequence in context: A064223 A098952 A144688 * A005358 A032518 A375461 Adjacent sequences: A164833 A164834 A164835 * A164837 A164838 A164839 KEYWORD nonn,base AUTHOR Gaurav Kumar, Aug 28 2009 STATUS approved

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Last modified September 9 07:24 EDT 2024. Contains 375762 sequences. (Running on oeis4.)