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A060182 a(0) = 1, a(1) = 5, a(2) = 13; a(n) = 2*a(n-1) + 2, n > 2. 2
1, 5, 13, 28, 58, 118, 238, 478, 958, 1918, 3838, 7678, 15358, 30718, 61438, 122878, 245758, 491518, 983038, 1966078, 3932158, 7864318, 15728638, 31457278, 62914558, 125829118, 251658238, 503316478, 1006632958, 2013265918 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Sometimes confused with A002717.

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..200

FORMULA

a(n) = 3(a(n-1) - a(n-2) + a(n-3) - ... ((-1)^(n+1))*a(0))+1;

a(n) = (2^(n-3))*a(3) + (2^(n-2)) - 2 for n > 3.

From R. J. Mathar, Jul 15 2009: (Start)

G.f.: -(1+x)*(x^2-x-1)/((-1+x)*(-1+2*x)).

a(n) = 15*2^(n-2) - 2, n > 1. (End)

PROG

(PARI) { a=-1; for (n=0, 200, a=2*a + 2; if (n<3, a++); write("b060182.txt", n, " ", a); ) } \\ Harry J. Smith, Jul 02 2009

CROSSREFS

Sequence in context: A027962 A023537 A023653 * A357945 A147066 A189485

Adjacent sequences: A060179 A060180 A060181 * A060183 A060184 A060185

KEYWORD

nonn,easy

AUTHOR

Brian Wallace (wallacebrianedward(AT)yahoo.co.uk), Mar 19 2001

EXTENSIONS

Simpler formula and more terms from Larry Reeves (larryr(AT)acm.org), Mar 30 2001

Edited by N. J. A. Sloane at the suggestion of Philippe LALLOUET (philip.lallouet(AT)wanadoo.fr), Sep 16 2007

STATUS

approved

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Last modified December 9 19:36 EST 2022. Contains 358703 sequences. (Running on oeis4.)