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A135280
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Numbers n of the form n = (x^2+1)(y^2+1), x,y > 0.
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0
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4, 10, 20, 25, 34, 50, 52, 74, 85, 100, 130, 164, 170, 185, 202, 244, 250, 260, 289, 290, 325, 340, 370, 394, 410, 442, 452, 500, 505, 514, 580, 610, 629, 650, 676, 724, 725, 802, 820, 850, 884, 962, 970, 985, 1010, 1060, 1105, 1130, 1154, 1220, 1252, 1285
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| The associated (x^2,y^2)-tuples are (1,1), (1,4), (1,9), (4,4), (1,16), (4,9), (1,25), (1,36), (4,16), (1,49) etc., producing 2*2=4, 2*5=10, 2*10=20, 5*5=25 etc.
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MAPLE
| isA135280 := proc(n) local d ; for d in numtheory[divisors](n) do if d > 1 and n/d > 1 then if issqr(d-1) and issqr(n/d-1) then RETURN(true) ; fi ; fi ; od: RETURN(false) ; end: for n from 4 to 800 do if isA135280(n) then printf("%d, ", n) ; fi ; od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 12 2007
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MATHEMATICA
| Take[Union[(#[[1]]^2+1)(#[[2]]^2+1)&/@Tuples[Range[30], 2]], 60] (* From Harvey P. Dale, Feb 15 2012 *)
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CROSSREFS
| Cf. A002808, which has form (x+1)(y+1), x, y > 0.
Sequence in context: A086176 A015789 A145021 * A100436 A009882 A100439
Adjacent sequences: A135277 A135278 A135279 * A135281 A135282 A135283
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KEYWORD
| easy,nonn,changed
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AUTHOR
| Masahiko Shin (qqbf2(AT)msd(AT)etude.ocn.ne.jp), Dec 02 2007
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EXTENSIONS
| Corrected and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com) and R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 05 2007
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