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A135493
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Number of ways to toss a coin n times and not get a run of six.
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5
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2, 4, 8, 16, 32, 62, 122, 240, 472, 928, 1824, 3586, 7050, 13860, 27248, 53568, 105312, 207038, 407026, 800192, 1573136, 3092704, 6080096, 11953154, 23499282, 46198372, 90823608, 178554512, 351028928, 690104702, 1356710122, 2667221872
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5).
O.g.f.: -2 - 2/(-1+x+x^2+x^3+x^4+x^5).
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MATHEMATICA
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a[n_] := a[n] = a[n - 1] + a[n - 2] + a[n - 3] + a[n - 4] + a[n - 5]; a[1] = 2; a[2] = 4; a[3] = 8; a[4] = 16; a[5] = 32; Array[a, 33] (* Robert G. Wilson v, Feb 10 2008 *)
LinearRecurrence[{1, 1, 1, 1, 1}, {2, 4, 8, 16, 32}, 25] (* G. C. Greubel, Oct 15 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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James R FitzSimons (cherry(AT)getnet.net), Feb 07 2008
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EXTENSIONS
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STATUS
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approved
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