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Search: id:A092118
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A092118 Doublestring squares: integers composed of a repeated string of integers (like 1313) which have an integer square root. +0
2
1322314049613223140496, 2066115702520661157025, 2975206611629752066116, 4049586776940495867769, 5289256198452892561984, 6694214876166942148761, 8264462810082644628100, 183673469387755102041183673469387755102041 (list; graph; listen)
OFFSET

1,1

LINKS

Author?, MMB message board "big square"

MAPLE

f:=proc(n) local i, j, k; i:=cat(n, n); j:=convert(i, decimal, 10); issqr(j); end;

with(numtheory): Digits:=50:for d from 1 to 22 do tendp1:=10^d+1: tendp1fact:=ifactors(tendp1)[2]: n:=mul(piecewise(tendp1fact[i][2] mod 2=1, tendp1fact[i][1], 1), i=1..nops(tendp1fact)):for i from ceil(sqrt((10^(d-1))/n)) to floor(sqrt((10^d-1)/n)) do printf("%d, ", tendp1*n*i^2) od: od: (C. Ronaldo)

CROSSREFS

Cf. A102567.

Sequence in context: A115541 A095438 A115503 this_sequence A037017 A115542 A095440

Adjacent sequences: A092115 A092116 A092117 this_sequence A092119 A092120 A092121

KEYWORD

nonn

AUTHOR

Michael Mark, Dec 15 2004

EXTENSIONS

Corrected and extended by C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 15 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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