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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
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
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
Sequence in context: A344748 A342810 A086548 * A305463 A037344 A062998
KEYWORD
base,nonn
AUTHOR
Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 29 2003
EXTENSIONS
Corrected and extended by Ray Chandler, Sep 05 2003
Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, Jun 11 2007
STATUS
approved