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A109164 a(n) = 4*a(n-1) - 4*a(n-2) + a(n-3), n >= 3. 0
1, 6, 20, 57, 154, 408, 1073, 2814, 7372, 19305, 50546, 132336, 346465, 907062, 2374724, 6217113, 16276618, 42612744, 111561617, 292072110, 764654716, 2001892041, 5241021410, 13721172192, 35922495169, 94046313318, 246216444788 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..26.

FORMULA

a(n) - a(n-1) = A054486(n+1).

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

MATHEMATICA

Join[{a=1, b=6}, Table[c=3*b-1*a+3; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Jan 28 2011*)

LinearRecurrence[{4, -4, 1}, {1, 6, 20}, 30] (* Harvey P. Dale, Apr 14 2016 *)

PROG

Floretion Algebra Multiplication Program, FAMP Code: 4tessumseq[ + .25'i + .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e], sumtype: (Y[15], *, vesy)

CROSSREFS

Cf. A054486.

Sequence in context: A292480 A200528 A127982 * A212689 A027984 A018808

Adjacent sequences:  A109161 A109162 A109163 * A109165 A109166 A109167

KEYWORD

easy,nonn

AUTHOR

Creighton Dement, Aug 18 2005

STATUS

approved

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Last modified November 18 14:33 EST 2017. Contains 294894 sequences.