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A029942
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Numbers n such that decimal expansion of n^3 contains n as a substring.
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5
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0, 1, 4, 5, 6, 9, 10, 24, 25, 32, 40, 49, 50, 51, 56, 60, 75, 76, 90, 99, 100, 125, 240, 249, 250, 251, 375, 376, 400, 490, 499, 500, 501, 510, 600, 624, 625, 749, 750, 751, 760, 782, 875, 900, 990, 999, 1000, 1249, 1250, 2400, 2490, 2500, 2510
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| 24 is a term as 24^3 = 13824 contains 24 as a substring, 250 is a term as 250^3 = 1562500 contains 250 as a substring.
6^3 = 21_6, 782^3 = 4_782_11768.
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MATHEMATICA
| n3ssQ[n_]:=Module[{idn=IntegerDigits[n], idn3=Partition[ IntegerDigits[ n^3], IntegerLength[n], 1]}, MemberQ[idn3, idn]]; Join[{0}, Select[Range[ 2600], n3ssQ]] (* From Harvey P. Dale, Jan 23 2012 *)
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CROSSREFS
| Cf. A018834, A075904, A075905.
Sequence in context: A159629 A082812 A075903 * A162016 A206822 A195993
Adjacent sequences: A029939 A029940 A029941 * A029943 A029944 A029945
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KEYWORD
| nonn,base,nice
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com)
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