

A234472


Numbers that when raised to the fourth power and written backwards give squares.


0



0, 1, 10, 11, 100, 101, 110, 1000, 1001, 1010, 1100, 10000, 10001, 10010, 10100, 11000, 100000, 100001, 100010, 100100, 101000, 110000, 1000000, 1000001, 1000010, 1000100, 1001000, 1010000, 1100000, 10000000, 10000001, 10000010, 10000100, 10001000, 10010000
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OFFSET

1,3


COMMENTS

It seems that the numbers contain only the digits 0 and 1, and that the reversed fourth power and the square root of the reversed fourth power are both palindromes.


LINKS

Table of n, a(n) for n=1..35.


EXAMPLE

101 is in the sequence because 101^4 = 104060401 and 104060401 = 10201^2.
110 is in the sequence because 110^4 = 146410000 and 14641 = 121^2.


PROG

(PARI) revint(n) = m=n%10; n\=10; while(n>0, m=m*10+n%10; n\=10); m
s=[]; for(i=0, 1000000, if(issquare(revint(i^4)), s=concat(s, i))); s
(MAGMA) [n: n in [0..10^7]  IsSquare(Seqint(Reverse(Intseq(n^4))))]; // Bruno Berselli, Dec 27 2013


CROSSREFS

Cf. A102859, A043681.
Sequence in context: A136831 A204009 A043681 * A139707 A139709 A221714
Adjacent sequences: A234469 A234470 A234471 * A234473 A234474 A234475


KEYWORD

nonn,base,nice


AUTHOR

Colin Barker, Dec 26 2013


STATUS

approved



