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A079239 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. 0
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; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..54.

EXAMPLE

a(33)=4864 because 4 is divisible by 1^3, 64 by 2^3, 864 by 3^3, 4864 by 4^3.

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] (* Harvey P. Dale, Dec 10 2010 *)

CROSSREFS

Sequence in context: A032871 A023764 A032905 * A079041 A133059 A132722

Adjacent sequences:  A079236 A079237 A079238 * A079240 A079241 A079242

KEYWORD

base,nonn

AUTHOR

Sudipta Das (juitech(AT)vsnl.net), Feb 03 2003

EXTENSIONS

Additional terms from Harvey P. Dale, Dec 10 2010

STATUS

approved

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Last modified April 20 04:42 EDT 2019. Contains 322294 sequences. (Running on oeis4.)