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A112611 a(n)= +5*a(n-1) +45*a(n-3) -225*a(n-4). 0
0, 4, 24, 60, 480, 2580, 10200, 59100, 303600, 1396500, 7347000, 37099500, 180030000, 916552500, 4599165000, 22749787500, 114487050000, 573173362500, 2854795125000, 14307190687500, 71569168500000, 357347616562500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Scale and initial conditions changed compared to the reference to get integer output.

REFERENCES

Taylor Booth, Sequential Machines and Automata Theory,John Wiley and Sons, New York, 1967, Pages 454-455

LINKS

Table of n, a(n) for n=0..21.

FORMULA

G.f.: 4*x*(1+x-15*x^2)/((5*x-1)*(45*x^3-1)) . [Sep 28 2009]

MATHEMATICA

M = {{1, 4, 0, 0}, {0, 0, 4, 1}, {4, 1, 0, 0}, {0, 0, 1, 4}}; w[0] = {0, 1, 1, 1}; w[n_] := w[n] = M.w[n - 1] a0 = Table[w[n][[1]], {n, 0, 25}]

CROSSREFS

Cf. A104180, A104181.

Sequence in context: A085250 A166870 A124350 * A212066 A181617 A261256

Adjacent sequences:  A112608 A112609 A112610 * A112612 A112613 A112614

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, Feb 27 2006

EXTENSIONS

Definition replaced by recurrence by the Associate Editors of the OEIS, Sep 28 2009

STATUS

approved

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Last modified November 12 17:06 EST 2019. Contains 329058 sequences. (Running on oeis4.)