A257263 Numbers such that the least missing nonzero digit (A257079) in their factorial base representation is 3.

5, 10, 11, 13, 14, 15, 17, 28, 29, 34, 35, 36, 37, 38, 39, 40, 41, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 65, 101, 106, 107, 109, 110, 111, 113, 124, 125, 130, 131, 132, 133, 134, 135, 136, 137, 148, 149, 154, 155, 156, 157, 158, 159, 160, 161, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 220

Offset: 1

Author

Antti Karttunen, Apr 27 2015

Keywords

• nonn
• base

Examples

			The factorial base representation (A007623) of 5 is "21", the least nonzero digit missing is 3, thus 5 is included.
The f.b.r. of 10 is "120", and likewise, 3 is the least missing digit, thus 10 is included.
The f.b.r. of 101 is "4021", where the least missing digit is 3, thus 101 is included in the sequence.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10920
• Index entries for sequences related to factorial base representation.

Crossrefs

Cf. A007623, A257079, A255411, A257262.

Subsequence of A256450.

Programs

Mathematica

q[n_] := Module[{k = n, m = 2, r, s = {}}, While[{k, r} = QuotientRemainder[k, m]; k != 0|| r != 0, AppendTo[s, r]; m++]; SubsetQ[s, {1, 2}] && !MemberQ[s, 3]]; Select[Range[220], q] (* Amiram Eldar, Feb 14 2024 *)