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A133408 Numbers n such that n is a substring of both its square and its cube in base 2 (written in base 10). +0
1
0, 1, 2, 4, 8, 16, 41, 64, 128 (list; graph; listen)
OFFSET

1,3

COMMENT

Binary analogue of A029943. Subset of A018826. Row 2 of array whose row 1 is A002275 and whose row 10 is A029943.

FORMULA

{k such that A007088(k) is a substring of A007088(k^2) and is a substring of A007088(k^3)}.

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.

CROSSREFS

Cf. A007088, A018826, A029943.

Sequence in context: A095236 A018536 A028497 this_sequence A018575 A013116 A012912

Adjacent sequences: A133405 A133406 A133407 this_sequence A133409 A133410 A133411

KEYWORD

base,easy,more,nonn

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), Dec 22 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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