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A133408
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Numbers n such that n is a substring of both its square and its cube in base 2 (written in base 10).
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0
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0, 1, 2, 4, 8, 16, 32, 41, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Binary analogue of A029943. Subset of A018826. Row 2 of array whose row 1 is A002275 and whose row 10 is A029943.
Contains every power of 2. Is 41 the only term which is not a power of 2? [From Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 11 2009]
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FORMULA
| {k such that A007088(k) is a substring of A007088(k^2) and is a substring of A007088(k^3)}.
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EXAMPLE
| a(7) = 41 because 41 (base 2) = 101001, which is a substring of 41^2 (base 2) = 11010010001 and which is a substring of 41^3 (base 2) = 10000110100111001.
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CROSSREFS
| Cf. A007088, A018826, A029943.
Sequence in context: A072011 A068535 A051505 * A101434 A008382 A007055
Adjacent sequences: A133405 A133406 A133407 * A133409 A133410 A133411
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KEYWORD
| base,more,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 22 2007
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EXTENSIONS
| Corrected and extended by Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 11 2009
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