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A079239
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Numbers n in which the last K digits of n form an integer divisible by K^3, for K = 1, 2, ..., M, where M is the number of digits in n.
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0
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1, 2, 3, 4, 5, 6, 7, 8, 9, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 108, 216, 324, 432, 540, 648, 756, 864, 972, 1216, 2432, 3648, 4864, 8000, 9216, 10000, 18000, 20000, 28000, 30000, 38000, 40000, 48000, 50000, 58000, 60000, 68000, 70000, 78000, 80000, 88000, 90000, 98000, 108000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| a(33)=4864 because 4 is divisible by 1^3, 64 by 2^3, 864 by 3^3, 4864 by 4^3.
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MATHEMATICA
| okQ[n_]:=Module[{idn=IntegerDigits[n]}, And@@(Divisible[#[[2]], #[[1]]^3]&/@Table[{i, FromDigits[Take[idn, -i]]}, {i, Length[idn]}])]
Select[Range[200000], okQ]
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CROSSREFS
| Sequence in context: A032344 A023764 A032905 * A079041 A133059 A132722
Adjacent sequences: A079236 A079237 A079238 * A079240 A079241 A079242
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KEYWORD
| base,nonn
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AUTHOR
| Sudipta Das (juitech(AT)vsnl.net), Feb 03 2003
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EXTENSIONS
| Additional terms provided and Mathematica program provided by Harvey P. Dale, Dec. 10, 2010
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