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Search: id:A094726
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| A094726 |
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Let M = the 2 X 2 matrix [ 0 3 / 3 2]. Take (M^n * [1 1])/3 = [p q]; then a(n) = p. |
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+0
1
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| 1, 5, 19, 83, 337, 1421, 5875, 24539, 101953, 424757, 1767091, 7356995, 30617809, 127448573, 530457427, 2207952011, 9190020865, 38251609829, 159213407443, 662691303347, 2758303273681, 11480828277485, 47786386018099
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OFFSET
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1,2
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EXAMPLE
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a(6) = 1421 since (M^n * [1 1])/3 = [1421 q].
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MATHEMATICA
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a[n_] := (MatrixPower[{{0, 3}, {3, 2}}, n].{{1}, {1}})[[1, 1]]/3; Table[ a[n], {n, 22}] (from Robert G. Wilson v Jun 05 2004)
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CROSSREFS
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Cf. A002534.
Adjacent sequences: A094723 A094724 A094725 this_sequence A094727 A094728 A094729
Sequence in context: A125657 A111929 A098041 this_sequence A017963 A005191 A144036
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), May 23 2004
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EXTENSIONS
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Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 05 2004
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