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

1,1

Comments

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

Links

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

Example

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.

Crossrefs

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

Sequence in context: A204751 A247441 A045106 * A121205 A038852 A043419

Adjacent sequences: A137198 A137199 A137200 * A137202 A137203 A137204

Keyword

base,nonn

Author

Joshua Zucker, Mar 04 2008

Status

approved