|
Search: id:A133408
|
|
|
| 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, 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; 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.
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]
|
|
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: A072011 A068535 A051505 this_sequence A101434 A008382 A007055
Adjacent sequences: A133405 A133406 A133407 this_sequence A133409 A133410 A133411
|
|
KEYWORD
|
base,easy,more,nonn
|
|
AUTHOR
|
Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 22 2007
|
|
EXTENSIONS
|
Corrected and extended by Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 11 2009
|
|
|
Search completed in 0.002 seconds
|
