A053208 Row sums of A053207.

0, 3, 10, 24, 52, 108, 220, 444, 892, 1788, 3580, 7164, 14332, 28668, 57340, 114684, 229372, 458748, 917500, 1835004, 3670012, 7340028, 14680060, 29360124, 58720252, 117440508, 234881020, 469762044, 939524092, 1879048188

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-2).

Formula

a(0) = 0, a(1) = 3, a(n+1) = 2*a(n) + 4, for n >= 1.

a(n) = 7*2^(n-1) - 4, n >= 1.

G.f.: x*(x + 3)/((x - 1)*(2*x - 1)). - Chai Wah Wu, Jul 24 2020

Mathematica

Join[{0}, NestList[2#+4&, 3, 30]] (* Harvey P. Dale, Nov 08 2013 *)
Join[{0}, Table[7*2^(n-1) -4, {n, 50}]] (* G. C. Greubel, Sep 03 2018 *)

Prog

(PARI) concat([0], vector(50, n, 7*2^(n-1) -4)) \\ G. C. Greubel, Sep 03 2018
(Magma) [0] cat [7*2^(n-1) -4: n in [1..50]]; // G. C. Greubel, Sep 03 2018

Crossrefs

Cf. A053207, A053209.

Sequence in context: A144413 A033811 A062446 * A355024 A338706 A338710

Adjacent sequences: A053205 A053206 A053207 * A053209 A053210 A053211

Keyword

nonn,easy

Author

Asher Auel, Dec 13 1999

Status

approved