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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

All terms are perfect squares.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..16

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: A112941 A258380 A045976 * A276095 A053889 A295372

Adjacent sequences:  A276253 A276254 A276255 * A276257 A276258 A276259

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Aug 25 2016

STATUS

approved

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Last modified February 26 01:41 EST 2020. Contains 332270 sequences. (Running on oeis4.)