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A350926
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a(0) = 1, a(1) = 17, and a(n) = 23*a(n-1) - a(n-2) - 4 for n >= 2.
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9
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1, 17, 386, 8857, 203321, 4667522, 107149681, 2459775137, 56467678466, 1296296829577, 29758359401801, 683145969411842, 15682598937070561, 360016629583211057, 8264699881476783746, 189728080644382815097, 4355481154939327963481, 99986338482960160344962, 2295330303953144359970641
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OFFSET
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0,2
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COMMENTS
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One of 10 linear second-order recurrence sequences satisfying (a(n)*a(n-1)-1) * (a(n)*a(n+1)-1) = (a(n)+1)^4 and together forming A350916.
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LINKS
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Table of n, a(n) for n=0..18.
Index entries for linear recurrences with constant coefficients, signature (24,-24,1).
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FORMULA
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G.f.: (1 - 7*x + 2*x^2)/((1 - x)*(1 - 23*x + x^2)). - Stefano Spezia, Jan 22 2022
21*a(n) = 4+17*A097778(n)-38*A097778(n-1). - R. J. Mathar, Feb 07 2022
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MATHEMATICA
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LinearRecurrence[{24, -24, 1}, {1, 17, 386}, 20] (* Harvey P. Dale, Jun 12 2022 *)
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CROSSREFS
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Cf. A350916.
Other sequences satisfying (a(n)*a(n-1)-1) * (a(n)*a(n+1)-1) = (a(n)+1)^4: A103974, A350917, A350919, A350920, A350921, A350922, A350923, A350925, A350925.
Sequence in context: A159244 A318043 A012639 * A327732 A012200 A340972
Adjacent sequences: A350923 A350924 A350925 * A350927 A350928 A350929
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KEYWORD
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nonn,easy
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AUTHOR
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Max Alekseyev, Jan 22 2022
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STATUS
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approved
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