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Search: id:A093812
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| A093812 |
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a(1) = 1; for n > 1, a(n) is the smallest positive integer not already used such that a(n)*a(n-1) + 1 is a fourth power. |
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+0
1
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| 1, 15, 17, 1680, 421, 56086995, 9940915081637, 31271643639794562523698024915, 3090319883395626207270178075850946683940891639487741952, 9721376888636052447184767296534734059409700304429485542107645657085305
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The next terms are (to two significant digits) 9.6*10^95, 3.0*10^111, 3.0*10^137, 9.4*10^152, 9.3*10^178.
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EXAMPLE
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The 4th roots of unity mod 17 are 1, 4, 13 and 16. (4^4 - 1)/17 = 15, which has already been used, so 17 is followed by (13^4 - 1)/17 = 1680.
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CROSSREFS
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Cf. A091569, A083203.
Sequence in context: A091017 A157716 A113968 this_sequence A159840 A124609 A102500
Adjacent sequences: A093809 A093810 A093811 this_sequence A093813 A093814 A093815
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KEYWORD
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nonn
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AUTHOR
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David Wasserman (wasserma(AT)spawar.navy.mil), May 20 2004
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