The bases for which S000746(n) is palindromic.
2, 2, 4, 3, 10, 150, 6, 9, 10, 190, 4, 8, 9, 10, 372, 10, 27, 30, 44, 100, 10300, 10, 105, 110, 112, 120, 132, 18480, 10, 31, 32, 61, 102, 117, 130, 19890, 10, 47, 67, 209, 224, 252, 256, 288, 96768, 10, 119, 221, 326, 720, 750, 800, 840, 875, 896, 900, 960, 1000, 1008000
1
The lengths of these lists of bases are 1, 2, 3, 4, 5, 6, 7, 8, 9, 14, 16, 19, 23, 39, 48, 56, 65, and 83.
T. D. Noe, Plot of 18 rows
T. D. Noe, Table of 18 rows
(Mma) mx = 0; t = {}; Do[q = Select[Range[2, Sqrt[n]], (s = IntegerDigits[n, #]; s == Reverse[s]) &]; AppendTo[q, n - 1]; AppendTo[t, q], {n, {3, 5, 151, 191, 373, 10301, 18481, 19891, 96769, 1008001, 1062601, 1670761, 101474101, 10008180001, 12137973121, 14063936041, 1000605060001, 1002113112001}}]; t
Cf. S000746.
nonn,tabf
T. D. Noe, Nov 11 2015