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A191566
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a(n) = 7*a(n-1) + (-1)^n*6*2^(n-1).
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1
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1, 1, 19, 109, 811, 5581, 39259, 274429, 1921771, 13450861, 94159099, 659107549, 4613765131, 32296331341, 226074368539, 1582520481469, 11077643566891, 77543504575021, 542804532811579, 3799631728108189
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OFFSET
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0,3
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COMMENTS
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a(n) + a(n+2) = 10 * (b(n) = 2, 11, 83, 569, 4007, ...).
b(n+1) = 7*b(n) - (-1)^n*3*2^n.
Inverse binomial transform of A007613(n).
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LINKS
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FORMULA
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a(n+1) - a(n) = 18 * (0 followed by A053573(n)).
a(n) = 5*a(n-1) + 14*a(n-2).
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MATHEMATICA
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LinearRecurrence[{5, 14}, {1, 1}, 40] (* Harvey P. Dale, Mar 01 2017 *)
CoefficientList[Series[(1 - 4*x)/(1 - 5*x - 14*x^2), {x, 0, 20}], x] (* Stefano Spezia, Sep 12 2018 *)
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PROG
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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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