A137201 "Ungodly" numbers: numbers that, in some base b > 6, contain the string 666 at least once in their expansion.

342, 438, 546, 666, 685, 798, 942, 950, 1028, 1098, 1266, 1275, 1371, 1446, 1462, 1638, 1666, 1714, 1842, 1974, 2004, 2057, 2058, 2129, 2286, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2486, 2526, 2666, 2670, 2733, 2743, 2778, 2998, 3042, 3086, 3295

Offset: 1

Author

Joshua Zucker, Mar 04 2008

Keywords

• base
• nonn

Comments

Max Alekseyev asked if there are an infinite number of godly numbers.

Examples

			342 is in the sequence because 342 = 666_7.
685 is in the sequence because 685 = 1666_7.
99968 is in the sequence because 99968 = 3666B_13.
		

Links

• Joshua Zucker, Mar 04 2008, Table of n, a(n) for n = 1..2938

Crossrefs

Cf. A121205 (numbers that in some base b are represented exactly as 666, so it is a subsequence of this sequence).