|
Search: id:A144753
|
|
|
| A144753 |
|
A positive integer n is included if n is a palindrome in binary and n has a prime number of 1's in its binary representation. |
|
+0
2
|
|
| 3, 5, 7, 9, 17, 21, 31, 33, 65, 73, 93, 107, 127, 129, 257, 273, 313, 341, 381, 403, 443, 471, 513, 1025, 1057, 1137, 1193, 1273, 1317, 1397, 1453, 1571, 1651, 1707, 1831, 2047, 2049, 4097, 4161, 4321, 4433, 4593, 4681, 4841, 4953, 5189, 5349, 5461, 5709
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Each term of this sequence is in both sequence A006995 and sequence A052294.
|
|
LINKS
|
Leroy Quet, Home Page (listed in lieu of email address)
|
|
EXAMPLE
|
21 in binary is 10101. This binary representation is a palindrome. And it contains three 1's and three is a prime. So 21 is included in the sequence.
|
|
MATHEMATICA
|
okQ[n_] := Module[{idn2 = IntegerDigits[n, 2]}, (idn2 == Reverse[idn2]) && PrimeQ[First[DigitCount[n, 2]]]]; Select[Range[10000], okQ] [From Harvey P. Dale (hpd1(AT)nyu.edu), Sep 23 2008]
|
|
CROSSREFS
|
A144752, A006995, A052294
Sequence in context: A064411 A146556 A084229 this_sequence A057482 A114136 A025072
Adjacent sequences: A144750 A144751 A144752 this_sequence A144754 A144755 A144756
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Leroy Quet Sep 20 2008
|
|
EXTENSIONS
|
Additional terms provided; Mathematica program provided Harvey P. Dale (hpd1(AT)nyu.edu), Sep 23 2008
|
|
|
Search completed in 0.002 seconds
|
