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A195858 a(n) = T(10, n), array T given by A047858. 1
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 (list; graph; refs; listen; history; text; internal format)
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 * A121805 A195542 A103472

Adjacent sequences:  A195855 A195856 A195857 * A195859 A195860 A195861

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Sep 28 2011

STATUS

approved

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Last modified February 25 10:51 EST 2020. Contains 332229 sequences. (Running on oeis4.)