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A276256
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).
3
1, 1, 1, 9, 121, 17161, 33189121, 9112869675009, 4839170130591864288001, 705579627764469400107962287271157001, 54630717750911142085059359537536676834981970103054482555001
OFFSET
1,4
COMMENTS
All terms are perfect squares.
LINKS
FORMULA
a(n) = A276258(n)^2.
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.
CROSSREFS
Cf. A276095.
Sequence in context: A258380 A360547 A045976 * A276095 A053889 A295372
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 25 2016
STATUS
approved