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A072032
a(n) = gcd(2^n, reverse(2^n)) = gcd(2^n, A004086(2^n)) = A055483(2^n).
2
2, 4, 8, 1, 1, 2, 1, 4, 1, 1, 2, 8, 2, 1, 1, 4, 1, 2, 1, 1, 2, 2, 2, 1, 1, 16, 1, 2, 1, 1, 4, 4, 2, 1, 1, 2, 1, 8, 1, 1, 8, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 8, 4, 1, 1, 1, 1, 1, 8, 1, 1, 16, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 8, 1, 1, 1, 1, 1, 1, 8, 1, 2, 2, 1, 1, 1, 1, 1, 1, 16, 1, 8, 1, 1
OFFSET
1,1
LINKS
EXAMPLE
n=12: a(12) = gcd(4096,6904) = 8.
MATHEMATICA
nd[x_, y_] := 10*x+y tn[x_] := Fold[nd, 0, x] red[x_] := Reverse[IntegerDigits[x]] Table[GCD[2^w, tn[red[2^w]]], {w, 1, 128}]
CROSSREFS
KEYWORD
nonn,less,base
AUTHOR
Labos Elemer, Jun 07 2002
STATUS
approved