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A251673 Numbers that are not palindromes, but whose squares are palindromes. 1
26, 264, 307, 836, 2285, 2636, 22865, 24846, 30693, 798644, 1042151, 1109111, 1270869, 2012748, 2294675, 3069307, 11129361, 12028229, 12866669, 30001253, 64030648, 110091011, 111091111, 306930693, 2062386218, 2481623254, 10106064399, 10109901101, 10110911101 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The corresponding sequence excluding numbers in A059744 starts: 1109111, 110091011, 111091111, 10109901101, 10110911101, ....

The sequence is infinite, for instance it contains 111*100^k + 91*10^k + 111 for k > 3. - Emmanuel Vantieghem, Sep 30 2017

LINKS

Table of n, a(n) for n=1..29.

FORMULA

A029742 INTERSECT A002778.

MATHEMATICA

a251673[n_Integer] := Select[Range[n], IntegerDigits[#] != Reverse@IntegerDigits[#] && IntegerDigits[#^2] == Reverse@IntegerDigits[#^2] &]; a251673[10^7] (* Michael De Vlieger, Dec 14 2014 *)

PROG

(MAGMA) [n: n in [0..3069307] | not Intseq(n, 10) eq Reverse(Intseq(n, 10)) and Intseq(n^2, 10) eq Reverse(Intseq(n^2, 10))];

(PARI) for(n=1, 10^6, d=digits(n); d2=digits(n^2); if(Vecrev(d2)==d2&&Vecrev(d)!=d, print1(n, ", "))) \\ Derek Orr, Dec 13 2014

CROSSREFS

Supersequence of A059744. Cf. A029742, A002778.

Sequence in context: A136922 A136921 A042308 * A059744 A016106 A200041

Adjacent sequences:  A251670 A251671 A251672 * A251674 A251675 A251676

KEYWORD

nonn,base

AUTHOR

Arkadiusz Wesolowski, Dec 06 2014

STATUS

approved

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Last modified June 18 18:52 EDT 2019. Contains 324215 sequences. (Running on oeis4.)