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 A165903 a(n) = (a(n-1)^2+a(n-2)^2+a(n-1)*a(n-2))/a(n-3) with three initial ones. 6
 1, 1, 1, 3, 13, 217, 16693, 21717363, 2175145909081, 283430597537694797281, 3699017428454717709381715649628841, 6290488320295607125006566146327310005599469877825552723 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..17 FORMULA a(n) ~ 1/6 * c^(((1+sqrt(5))/2)^n), where c = 1.902254978346365075882696720546123493664... . - Vaclav Kotesovec, May 06 2015 a(n) = 6*a(n-1)*a(n-2)-a(n-1)-a(n-2)-a(n-3). - Bruno Langlois, Aug 21 2016 MATHEMATICA RecurrenceTable[{a[0]==1, a[1]==1, a[2]==1, a[n]==(a[n-1]^2+a[n-2]^2+a[n-1]*a[n-2])/a[n-3]}, a, {n, 0, 10}] (* Vaclav Kotesovec, May 06 2015 *) PROG (PARI) a(n)=if(n<3, 1, (a(n-1)^2+a(n-2)^2+a(n-1)*a(n-2))/a(n-3)) CROSSREFS Cf. A064098, A072882, A165896. Sequence in context: A112093 A085010 A259988 * A100441 A036680 A111431 Adjacent sequences:  A165900 A165901 A165902 * A165904 A165905 A165906 KEYWORD nonn AUTHOR Jaume Oliver Lafont, Sep 29 2009 EXTENSIONS "frac" keyword removed by Jaume Oliver Lafont, Oct 13 2009 STATUS approved

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Last modified January 19 09:35 EST 2019. Contains 319306 sequences. (Running on oeis4.)