A094359 Pair reversal of a Jacobsthal sequence.

0, 1, 2, 2, 10, 6, 42, 22, 170, 86, 682, 342, 2730, 1366, 10922, 5462, 43690, 21846, 174762, 87382, 699050, 349526, 2796202, 1398102, 11184810, 5592406, 44739242, 22369622, 178956970, 89478486, 715827882, 357913942, 2863311530, 1431655766

Offset

0,3

Comments

Pair reversal of A078008.

a(n+1) - 2*a(n) = A000918(n) signed. - Paul Curtz, Jun 29 2008

Pisano period lengths: 1, 1, 6, 1, 4, 6, 6, 2, 18, 4, 10, 6, 12, 6, 12, 2, 8, 18, 18, 4, ... - R. J. Mathar, Aug 10 2012

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (-1,4,4)

Formula

a(n) = 5*2^n/12 - 2(-1)^n/3 + (-2)^n/4.

G.f.: x*(1+3*x)/((1+x)*(1-4*x^2)).

Prog

(Magma) [5*2^n/12-2*(-1)^n/3+(-2)^n/4: n in [0..35]]; // Vincenzo Librandi, Aug 12 2011

Crossrefs

Cf. A084183, A094360.

Sequence in context: A223126 A127058 A242002 * A293060 A293061 A129898

Adjacent sequences: A094356 A094357 A094358 * A094360 A094361 A094362

Keyword

easy,nonn

Author

Paul Barry, Apr 26 2004

Status

approved