A195858 a(n) = T(10, n), array T given by A047858.

1, 12, 35, 83, 183, 391, 823, 1719, 3575, 7415, 15351, 31735, 65527, 135159, 278519, 573431, 1179639, 2424823, 4980727, 10223607, 20971511, 42991607, 88080375, 180355063, 369098743, 754974711, 1543503863, 3154116599, 6442450935, 13153337335, 26843545591

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..3000

Index entries for linear recurrences with constant coefficients, signature (5,-8,4).

Formula

a(n) = 2^(n-1)*(n+20)-9.

a(0)=1, a(1)=12, a(2)=35, a(n) = 5*a(n-1)-8*a(n-2)+4*a(n-3).

G.f.: (1+7*x-17*x^2) / ((1-x)*(1-2*x)^2). - Colin Barker, Aug 24 2016

Mathematica

LinearRecurrence[{5, -8, 4}, {1, 12, 35}, 40] (* Harvey P. Dale, Jul 24 2019 *)

Prog

(Magma) [2^(n-1)*(n+20)-9: n in [0..30]]; // Vincenzo Librandi, Sep 28 2011
(PARI) Vec((1+7*x-17*x^2)/((1-x)*(1-2*x)^2) + O(x^40)) \\ Colin Barker, Aug 24 2016

Crossrefs

Cf. A047858.

Sequence in context: A142074 A102085 A058968 * A368782 A367635 A367645

Adjacent sequences: A195855 A195856 A195857 * A195859 A195860 A195861

Keyword

nonn,easy

Author

Vincenzo Librandi, Sep 28 2011

Status

approved