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A094357
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Numbers of the form k^2 -1 such that every partial product is also of the form k^2-1.
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3
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OFFSET
| 1,1
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COMMENTS
| Next term <= 32645356640144805339103579127542660095683 : The number (sqrt( product( a[j], j=1 .. n )+1)-1)^2-1 does satisfy the requirements for the next term, but is this always the smallest solution ? - M. F. Hasler (Maximilian.Hasler(AT)gmail.com), May 15 2007
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FORMULA
| a(n+1) = A084702(A093959(n)-1). - David Wasserman (dwasserm(AT)earthlink.net), May 03 2007
For n>1, a[n+1] <= floor( sqrt( product( a[j], j=1 .. n )))^2-1 - M. F. Hasler (Maximilian.Hasler(AT)gmail.com), May 15 2007
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EXAMPLE
| 3, 8 and 15 are 1 less than a square and so are the numbers 3, 3*8, 3*8*15.
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CROSSREFS
| Cf. A084702, A093959.
Sequence in context: A192167 A065500 A120341 * A136532 A030417 A190450
Adjacent sequences: A094354 A094355 A094356 * A094358 A094359 A094360
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KEYWORD
| hard,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 22 2004
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EXTENSIONS
| More terms from David Wasserman (dwasserm(AT)earthlink.net), May 03 2007
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