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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 (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

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: A097962 A122639 A086548 * A037344 A062998 A108194

Adjacent sequences:  A083431 A083432 A083433 * A083435 A083436 A083437

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(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 Plewe, Jun 11 2007

STATUS

approved

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Last modified May 21 07:03 EDT 2013. Contains 225477 sequences.