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A276256
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A nonlinear recurrence of order 3: a(1)=a(2)=a(3)=1; a(n)=(a(n-1)+a(n-2)+1)^2/a(n-3).
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3
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1, 1, 1, 9, 121, 17161, 33189121, 9112869675009, 4839170130591864288001, 705579627764469400107962287271157001, 54630717750911142085059359537536676834981970103054482555001
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OFFSET
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1,4
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COMMENTS
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All terms are perfect squares.
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LINKS
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FORMULA
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a(n) = 16*a(n-1)*a(n-2) - 2a(n-1) - 2a(n-2) - 2 - a(n-3).
a(n)*a(n-1)*a(n-2) = ((a(n) + a(n-1) + a(n-2) + 1)/4)^2.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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