A083157 Palindromes which are the geometric mean of two distinct palindromes >1.

4, 6, 22, 33, 44, 66, 121, 202, 222, 242, 303, 333, 363, 404, 424, 444, 484, 606, 636, 666, 1111, 1221, 1331, 1441, 2002, 2112, 2222, 2332, 2442, 2662, 3003, 3333, 3443, 3663, 4004, 4224, 4444, 4664, 4884, 6006, 6336, 6666, 10201

Offset

1,1

Comments

Sequence is infinite as (10^k - 1)/3 is always a member for k >1. (10^k-1)/3 = {(10^k -1)/9}*{10^k -1}^(1/2).

Links

Table of n, a(n) for n=1..43.

Example

6 = (4*9)^(1/2), 121 = (11*1331)^(1/2).
4444 = (2222*8888)^(1/2)
4664 = (25652*848)^(1/2)
4884 = (26862*888)^(1/2)
6006 = (4004*9009)^(1/2)
6336 = (405504*99)^(1/2)
6666 = (4444*9999)^(1/2)
10201 = (101*1030301)^(1/2)

Crossrefs

Sequence in context: A272309 A108636 A101143 * A192154 A289385 A151519

Adjacent sequences: A083154 A083155 A083156 * A083158 A083159 A083160

Keyword

base,nonn

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 25 2003

Extensions

More terms from Deepan Majmudar (deepan.majmudar(AT)hp.com), Nov 29 2004

Status

approved