A086653 - OEIS

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A086653

a(n) = 2^n + 3*n.

5, 10, 17, 28, 47, 82, 149, 280, 539, 1054, 2081, 4132, 8231, 16426, 32813, 65584, 131123, 262198, 524345, 1048636, 2097215, 4194370, 8388677, 16777288, 33554507, 67108942, 134217809, 268435540, 536870999, 1073741914, 2147483741

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..31.

Index entries for linear recurrences with constant coefficients, signature (4,-5,2).

FORMULA

a(n) = 4*a(n-1)-5*a(n-2)+2*a(n-3). G.f.: x*(5-10*x+2*x^2)/((1-x)^2*(1-2*x)). [Colin Barker, Sep 05 2012]

a(n) = A000079(n) + A008585(n). - Michel Marcus, Mar 23 2024

MAPLE

seq(2^n + 3*n, n=1..40);

MATHEMATICA

Table[2^n+3n, {n, 40}] (* or *) LinearRecurrence[{4, -5, 2}, {5, 10, 17}, 40] (* Harvey P. Dale, Dec 12 2013 *)

CROSSREFS

Cf. A000079, A008585.

Sequence in context: A306011 A080341 A271328 * A215449 A174062 A020642

Adjacent sequences: A086650 A086651 A086652 * A086654 A086655 A086656

KEYWORD

easy,nonn

AUTHOR

Robert H Rosseau (rhrosseau(AT)yahoo.com), Sep 11 2003

EXTENSIONS

More terms from Ray Chandler, Sep 16 2003

STATUS

approved