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A162356
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a(n) = 8*a(n-1)-14*a(n-2) for n>1; a(0) = 2; a(1) = 9.
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0
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2, 9, 44, 226, 1192, 6372, 34288, 185096, 1000736, 5414544, 29306048, 158644768, 858873472, 4649961024, 25175459584, 136304222336, 737977344512, 3995559643392, 21632794323968, 117124519584256, 634137036138496
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OFFSET
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0,1
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COMMENTS
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Fourth binomial transform of A135530.
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LINKS
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FORMULA
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G.f.: (2-7*x)/(1-8*x+14*x^2).
a(n) = ((4+sqrt(2))^(n+1)+(4-sqrt(2))^(n+1))/4.
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PROG
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(Magma) Z<x>:=PolynomialRing(Integers()); N<r>:=NumberField(x^2-2); S:=[ ((4+r)^(n+1)+(4-r)^(n+1))/4: n in [0..20] ]; [ Integers()!S[j]: j in [1..#S] ];
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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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