|
|
A083434
|
|
a(n) = smallest palindrome not included earlier and with the same prime signature as n, or 0 if no such palindrome exists.
|
|
3
|
|
|
1, 2, 3, 4, 5, 6, 7, 8, 9, 22, 11, 44, 101, 33, 55, 14641, 131, 99, 151, 171, 77, 111, 181, 88, 121, 141, 343, 212, 191, 66, 313, 0, 161, 202, 262, 484, 353, 303, 323, 232, 373, 222, 383, 242, 292, 393, 727, 272, 10201, 333, 454, 363, 757, 424, 505, 686, 515, 535
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Conjecture: There are infinitely many zeros in this sequence.
a(32) = 0 is only a conjecture. If there is a palindromic 5th power, it is greater than 10^40. - David Wasserman, Mar 22 2005
|
|
LINKS
|
|
|
EXAMPLE
|
16 = 2^4 which has the prime signature p^4, p a prime; hence a(16) = 14641= 11^4 has the prime signature p^4.
a(30) = 66 as 66 and 30 have same prime signature.
a(18) = 99, as 44 with the same prime signature is already included as a(12)=44.
|
|
CROSSREFS
|
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 29 2003
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|