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A238893
Encoded bases for which A214425(n) is palindromic.
2
179, 238, 135, 268, 359, 137, 137, 258, 136, 268, 237, 578, 268, 567, 589, 137, 257, 367, 269, 138, 136, 138, 489, 679, 678, 137, 268, 137, 268, 178, 179, 289, 135, 258, 147, 137, 137, 137, 128, 268, 137, 137, 268, 137, 137, 137, 137, 248, 139, 259, 137
OFFSET
1,1
COMMENTS
The three bases b < c < d are encoded as one number (b-1)*100 + (c-1)*10 + (d-1). Similar to A214427 which tabulates the single base for which A214423(n) is palindromic. The vast majority of these palindromes are for the three bases (2,4,8), which encodes as 137 in this sequence.
EXAMPLE
A214425(1) = 9. The number 9 is palindromic in 3 bases: 2, 8, and 10. Hence, a(1) = 179.
MATHEMATICA
n = -1; t = {}; While[Length[t] < 51, n++; If[Count[c = Table[s = IntegerDigits[n, m]; s == Reverse[s], {m, 2, 10}], True] == 3, d = Flatten[Position[c, True]]; AppendTo[t, 100*d[[1]] + 10*d[[2]] + d[[3]]]]]; t
CROSSREFS
KEYWORD
nonn,base
AUTHOR
T. D. Noe, Mar 07 2014
STATUS
approved