login
A105577
a(n) = 2*a(n-1) - 3*a(n-2) + 2*a(n-3) with a(0) = 1, a(1) = 5, a(2) = 6.
4
1, 5, 6, -1, -10, -5, 18, 31, -2, -61, -54, 71, 182, 43, -318, -401, 238, 1043, 570, -1513, -2650, 379, 5682, 4927, -6434, -16285, -3414, 29159, 35990, -22325, -94302, -49649, 138958, 238259, -39654, -516169, -436858, 595483, 1469202, 278239, -2660162, -3216637, 2103690, 8536967
OFFSET
0,2
COMMENTS
Floretion Algebra Multiplication Program, FAMP Code: 2lesseq[.5'j + .5'k + .5j' + .5k' + .5'ii' + .5e]
FORMULA
G.f.: (1+3*x-x^2)/((1-x)*(1-x+2*x^2)). - Colin Barker, Mar 26 2012
MATHEMATICA
LinearRecurrence[{2, -3, 2}, {1, 5, 6}, 50] (* Harvey P. Dale, Apr 13 2019 *)
CROSSREFS
Equals (1/4) [A107920(n+4) + 2*A107920(n-1) + 3].
Sequence in context: A131947 A113262 A195823 * A054655 A290319 A321630
KEYWORD
sign,easy
AUTHOR
Creighton Dement, Apr 14 2005
STATUS
approved