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A353580
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a(n) = 2*a(n-1) + a(n-2) - 1, with a(0) = 0 and a(1) = 2.
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1
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0, 2, 3, 7, 16, 38, 91, 219, 528, 1274, 3075, 7423, 17920, 43262, 104443, 252147, 608736, 1469618, 3547971, 8565559, 20679088, 49923734, 120526555, 290976843, 702480240, 1695937322, 4094354883, 9884647087, 23863649056, 57611945198, 139087539451, 335787024099, 810661587648
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = (1/4)((2*s - 1)*(1 + s)^n - (2*s + 1)*(1 - s)^n + 2) where s = sqrt(2).
E.g.f.: exp(x)*(1 - cosh(sqrt(2)*x) + 2*sqrt(2)*sinh(sqrt(2)*x))/2. - Stefano Spezia, May 03 2022
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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