A171741 The first 3-fold intrinsically n-palindromic number (given in base ten).

18, 154, 19040, 267140, 2853326516320, 3360633

Offset: 2

Author

James G. Merickel, Dec 17 2009

Keywords

• nonn
• more
• base

Comments

The large value for the 6-palindrome case, a(6)=2853326516320, has 139 as the smallest of the three bases.

Coincidentally, the following much shorter term, a(7)= 3360633, involves base 9 through 11, the conjunction of base-9 and base-10 palindromes (A029965) comes up a term short (assuming space limitations remain as they are at the beginning of 2011), and A053740 is a totally unrelated collection of palindromes that also contains 33633.

a(8) > 10^18. - Hiroaki Yamanouchi, Aug 22 2015

Examples

			a(5)=267140 is 6D4D6 in base 14, 54245 in base 15, and 29E92 in base 18.
a(7)=3360633 is 6281826 in base 9 and 1995991 in base 11.
		

Crossrefs

Cf. A171701, A171702, A171703, A171704, A171705, A171706, A171740, A171742, A053780, A029966, A029965.