

A056641


Least positive integer k for which (b+1)^k is not palindromic in base b, b = 2, 3, 4, ...


1



4, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9
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OFFSET

2,1


COMMENTS

Sequence of run lengths is C(n,[ (n1)/2 ]) (= A037952), n=1,2,3,...; sequence of b where a(b) != a(b1), b >= 3, is C(b1,[ (b1)/2 ]) (= A001405).


LINKS



EXAMPLE

The 4th term is 4 because base 5 representations of (5+1)^1 = 11, (5+1)^2 = 121, (5+1)^3 = 1331, are all palindromic, while (5+1)^4 = 20141 is not.


MATHEMATICA

palq[x_] := x == Reverse[x] Table[x = 0; While[palq[IntegerDigits[(t + 1)^x, t]], ++x]; x, {t, START, FINISH}] (* Dylan Hamilton, Aug 15 2010 *)


CROSSREFS



KEYWORD

nonn,base


AUTHOR

Helge Robitzsch (hrobi(AT)math.unigoettingen.de), Aug 11 2000


STATUS

approved



