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A069747 Numbers n such that n and phi(n) are both palindromes. 0
1, 2, 3, 4, 5, 6, 7, 8, 9, 535, 767, 20502, 50805, 53035, 58085, 58585, 59395, 82428, 88188, 3269623, 5808085, 5846485, 8110118, 8666668, 8818188, 8872788, 8875788 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

For an arithmetical function f, call the pairs (x,y) such that y = f(x) and x, y are palindromes the "palinpairs" of f. a(n) is then the sequence of abcissae of palinpairs of f(n) = phi(n).

EXAMPLE

phi(58085) = 46464, so 58085 is a term of the sequence.

MATHEMATICA

isPalin[n_] := (n == FromDigits[Reverse[IntegerDigits[n]]]); Do[m = EulerPhi[n]; If[isPalin[n] && isPalin[m], Print[{n, m}]], {n, 1, 10^6}]

CROSSREFS

Sequence in context: A046469 A004893 A069282 * A124107 A112014 A145461

Adjacent sequences:  A069744 A069745 A069746 * A069748 A069749 A069750

KEYWORD

base,nonn

AUTHOR

Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Apr 22 2002

EXTENSIONS

More terms from Jason Earls (zevi_35711(AT)yahoo.com), May 07 2002

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Last modified February 16 09:27 EST 2012. Contains 205904 sequences.