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A071132 Squares which repeat with at least two full periods when written in base 6. 1
5776, 190096, 6739216, 97990201, 241989136, 242611776, 3975176401, 8707875856, 8711608896, 14393520729, 25588481296, 39982002025, 57574082916, 95174101009, 149392299169, 313461135376, 313483530816, 380696404036, 4724628251641, 11284466503696, 11284600873536 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..54 (terms < 6^29)

EXAMPLE

76^2 = 5776 = 42|42|4 in base 6.

119973^2 = 14393520729 = 1034013|1034013 in base 6.

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[6, #] & /@ Range[13]) (* Giovanni Resta, Aug 01 2018 *)

CROSSREFS

Cf. A071128 (base 2) - A071135 (base 9), A069919 (base 10).

Sequence in context: A246421 A317049 A096399 * A228466 A094063 A094395

Adjacent sequences:  A071129 A071130 A071131 * A071133 A071134 A071135

KEYWORD

base,nonn

AUTHOR

Erich Friedman, May 28 2002

EXTENSIONS

Missing a(12), a(13), a(16) and more terms from Giovanni Resta, Aug 01 2018

STATUS

approved

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Last modified October 18 04:46 EDT 2019. Contains 328145 sequences. (Running on oeis4.)