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A105577 a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..43.

FORMULA

a(n) = 2*a(n-1)-3*a(n-2)+2*a(n-3). G.f.: (1+3*x-x^2)/((1-x)*(1-x+2*x^2)). [Colin Barker, Mar 26 2012]

PROG

Floretion Algebra Multiplication Program, FAMP Code: 2lesseq[.5'j + .5'k + .5j' + .5k' + .5'ii' + .5e]

CROSSREFS

Cf. A002249, A014551, A105578.

Equals (1/4) [A107920(n+4) + 2*A107920(n-1) + 3 ].

Sequence in context: A131947 A113262 A195823 * A054655 A086745 A086646

Adjacent sequences:  A105574 A105575 A105576 * A105578 A105579 A105580

KEYWORD

sign,easy

AUTHOR

Creighton Dement, Apr 14 2005

STATUS

approved

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Last modified March 29 18:39 EDT 2017. Contains 284273 sequences.