|
| |
| |
|
|
|
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 29, 31, 37, 41, 43, 45, 47, 51, 53, 59, 61, 63, 67, 71, 73, 79, 83, 85, 89, 93, 95, 97, 101, 103, 107, 109, 111, 113, 119, 123, 127, 131, 137, 139, 149, 151, 153, 157, 163, 167, 173, 179, 181, 187, 189, 191, 193, 197, 199
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
Fixed points of the TITO2 operation (the TITO operation in binary): numbers a(n) such that A161955(a(n)) = a(n).
All numbers in the sequence are odd. All odd primes A065091 belong to the sequence.
|
|
|
LINKS
|
Table of n, a(n) for n=1..62.
T. Khovanova, Turning Numbers Inside Out [From Tanya Khovanova, Jul 07 2009]
|
|
|
EXAMPLE
|
95 is in this sequence because 95 = 5*19. Prime factors in binary are: 101 and 10011.
Reversing them we get 101 and 11001. The product of the last two numbers is 1111101, which is
the reverse of the binary representation of 95 (1011111).
|
|
|
MATHEMATICA
|
reverseBinPower[{n_, k_}] := FromDigits[Reverse[IntegerDigits[n, 2]], 2]^k fBin[n_] := FromDigits[ Reverse[IntegerDigits[ Times @@ Map[reverseBinPower, FactorInteger[n]], 2]], 2] Select[Range[300], fBin[ # ] == # &]
|
|
|
CROSSREFS
|
Cf. A161955, A161594, A161597.
Sequence in context: A353076 A033039 A322660 * A082720 A033037 A246413
Adjacent sequences: A161954 A161955 A161956 * A161958 A161959 A161960
|
|
|
KEYWORD
|
base,nonn
|
|
|
AUTHOR
|
Tanya Khovanova, Jun 22 2009
|
|
|
EXTENSIONS
|
Comments condensed by R. J. Mathar, Aug 14 2009
|
|
|
STATUS
|
approved
|
| |
|
|
