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 A276266 a(0) = a(1) = a(2) = 1; for n>2, a(n) = ( a(n-1)*a(n-2) + 1 )^2 / a(n-3). 2
 1, 1, 1, 4, 25, 10201, 16259565169, 1100432328310492581042546436, 31383529740086705883339675381564403354342372463018335778292540655564225 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10 FORMULA a(n) = A208209(n)^2. MATHEMATICA RecurrenceTable[{a[n] == (a[n - 1] a[n - 2] + 1)^2/a[n - 3], a[0] == a[1] == a[2] == 1}, a, {n, 0, 8}] (* Michael De Vlieger, Aug 26 2016 *) PROG (Ruby) def A(m, n)   a = Array.new(m, 1)   ary = [1]   while ary.size < n + 1     i = a[1..-1].inject(:*) + 1     i *= i     break if i % a[0] > 0     a = *a[1..-1], i / a[0]     ary << a[0]   end   ary end def A276266(n)   A(3, n) end CROSSREFS Cf. A081068, A208209. Sequence in context: A317699 A284106 A063802 * A276268 A086909 A046963 Adjacent sequences:  A276263 A276264 A276265 * A276267 A276268 A276269 KEYWORD nonn AUTHOR Seiichi Manyama, Aug 26 2016 STATUS approved

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Last modified May 25 19:13 EDT 2019. Contains 323576 sequences. (Running on oeis4.)