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A064183
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Define a pair of sequences by p(0)=0, q(0)=p(1)=q(1)=1, q(n+1)=p(n)*q(n-1), p(n+1)=q(n+1)+q(n) for n>0; sequence give q(n); A064526 gives p(n).
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2
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1, 1, 1, 2, 3, 10, 39, 490, 20631, 10349290, 213941840151, 2214253254659846890, 473721461633379426414550183191, 1048939288228833100615882755549676600679754298090
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| M. Somos and R. Haas, A linked pair of sequences implies the primes are infinite, Amer. Math. Monthly, 110 (No. 6, 2003), 539-540.
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FORMULA
| a(n)=(a(n-1)+a(n-2))*a(n-2).
lim n->infinity a(n)/a(n-1)^Phi = 1 - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Aug 29 2004
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PROG
| (PARI) a(n)=local(v); if(n<3, n>=0, v=[1, 1]; for(k=3, n, v=[v[2], v[1]*(v[1]+v[2])]); v[2])
(PARI) a(n)=if(n<3, n>=0, (a(n-1)+a(n-2))*a(n-2))
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CROSSREFS
| Sequence in context: A164933 A003048 A008980 * A050381 A129716 A032293
Adjacent sequences: A064180 A064181 A064182 * A064184 A064185 A064186
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KEYWORD
| nonn,easy
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AUTHOR
| Michael Somos, Sep 20, 2001
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