A083434 a(n) = smallest palindrome not included earlier and with the same prime signature as n, or 0 if no such palindrome exists.

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

Links

Table of n, a(n) for n=1..58.

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

Adjacent sequences: A083431 A083432 A083433 * A083435 A083436 A083437

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