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A061021
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a(n) = a(n-1)*a(n-2)-a(n-3).
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2
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3, 3, 3, 6, 15, 87, 1299, 112998, 146784315, 16586334025071, 2434613678231239448367, 40381315689150066251526220641224742, 98312903521778500654864668915856114278134197773017871243
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Any three consecutive terms are a solution to the Diophantine equation x^2 + y^2 + z^2 = xyz.
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REFERENCES
| E.T.H. Wang, Problem Proposal 701, College Mathematics Journal 32 (2001), p. 211.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,17
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PROG
| (PARI) { for (n=0, 17, if (n>2, a=a1*a2 - a3; a3=a2; a2=a1; a1=a, if (n==0, a=a3=3, if (n==1, a=a2=3, a=a1=3))); write("b061021.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 16 2009]
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CROSSREFS
| Sequence in context: A113920 A081848 A079988 * A126608 A088195 A131757
Adjacent sequences: A061018 A061019 A061020 * A061022 A061023 A061024
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KEYWORD
| easy,nonn
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AUTHOR
| Stephen G. Penrice (spenrice(AT)ets.org), May 23 2001
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EXTENSIONS
| More terms from Erich Friedman (efriedma(AT)stetson.edu), Jun 03 2001
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