A060827 3-wave sequence beginning with 2's.

2, 2, 2, 4, 6, 10, 12, 22, 28, 50, 62, 112, 140, 252, 314, 566, 706, 1272, 1586, 2858, 3564, 6422, 8008, 14430, 17994, 32424, 40432, 72856, 90850, 163706, 204138, 367844, 458694, 826538, 1030676, 1857214, 2315908, 4173122, 5203798, 9376920

Offset

0,1

Comments

The 3-wave sequence with initial values a, b, c is formed by the following construction:

a.......a+b+c............3a+5b+6c...

..b...b+c...a+2b+2c..2a+4b+5c...

....c..........a+2b+3c...

Dropping middle row gives A052994.

Links

Table of n, a(n) for n=0..39.

F. v. Lamoen, Wave sequences

Index entries for linear recurrences with constant coefficients, signature (0,2,0,1,0,-1).

Formula

G.f.: (-2x^2+2x+2)/(x^6-x^4-2x^2+1).

a(n) = 2*A038196(n).

Crossrefs

Cf. A038196, A052994 (bisection)

Sequence in context: A191651 A010558 A365717 * A188288 A064355 A000799

Adjacent sequences: A060824 A060825 A060826 * A060828 A060829 A060830

Keyword

easy,nonn

Author

Jason Earls, Apr 30 2001

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 10 2001

Status

approved