A393903 Numbers k such that the digit reversals of k, when written in all bases 2 to 10, are greater than k.

143, 167, 179, 293, 359, 647, 779, 1067, 1103, 1109, 1133, 1139, 1187, 1223, 1259, 1307, 1319, 1343, 1439, 1469, 1559, 1643, 1679, 2519, 3167, 3239, 3263, 3383, 3407, 3839, 3887, 4127, 4139, 4157, 4199, 4247, 4337, 4409, 4427, 4499, 4517, 4589, 4679, 4787

Offset

1,1

Links

Scott R. Shannon, Table of n, a(n) for n = 1..10000

Example

143 is a term as 143 = 143_10 = 168_9 = 217_8 = 263_7 = 355_6 = 1033_5 = 2033_4 = 12022_3 = 10001111_2 whose digital reversals are 341_10 = 341, 861_9 = 703, 712_8 = 458, 362_7 = 191, 553_6 = 213, 3301_5 = 451, 3302_4 = 242, 22021_3 = 223, 11110001_2 = 241, all of which are greater than 143.

Mathematica

q[k_]:=AllTrue[IntegerReverse[k, Range[2, 10]], #>k&]; Select[Range[4787], q] (* James C. McMahon, Mar 02 2026 *)

Crossrefs

Cf. A393902, A393720, A393721, A393717, A393718, A305989, A305877, A004086.

Sequence in context: A293755 A160781 A217141 * A097435 A350735 A073954

Adjacent sequences: A393900 A393901 A393902 * A393904 A393905 A393906

Keyword

nonn,base

Author

Scott R. Shannon, Mar 02 2026

Status

approved