

A071134


Squares which repeat with at least two full periods when written in base 8.


2



9, 36, 6241, 116964, 418609, 28121809, 477247716, 1277991001, 1967188609, 5111964004, 7681646025, 73073443041, 79698371481, 91424593225, 120297291921, 292293772164, 318793485924, 1954689202404, 5429696889241, 5480313774049, 21718787556964, 21921255096196
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OFFSET

1,1


LINKS

Giovanni Resta, Table of n, a(n) for n = 1..57 (terms < 8^27)


EXAMPLE

647^2 = 418609 = 1461461 in base 8.
21846^2 = 477247716 = 3434434344 in base 8.


MATHEMATICA

psq[b_, nd_] := Block[{sq={}, r, x}, Do[r = Mod[nd, p]; Do[x = (b^( Floor[nd/p] p)  1)/(b^p  1) t b^r + Floor[t/b^(p  r)]; If[ IntegerQ@ Sqrt@ x, AppendTo[ sq, x]], {t, b^(p  1), b^p  1}], {p, nd/2}]; sq]; Union @@ (psq[8, #] & /@ Range[11]) (* Giovanni Resta, Aug 01 2018 *)


CROSSREFS

Cf. A071128 (base 2)  A071135 (base 9), A069919 (base 10).
Sequence in context: A079655 A203764 A053949 * A116108 A232257 A091961
Adjacent sequences: A071131 A071132 A071133 * A071135 A071136 A071137


KEYWORD

base,nonn


AUTHOR

Erich Friedman, May 28 2002


EXTENSIONS

Missing a(18) and more terms from Giovanni Resta, Aug 01 2018


STATUS

approved



