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A121963 Modulo 3 quadratic 2 X 2 matrix Markov of the A001503 type. +0
1
0, 1, 2, 7, 23, 53, 182, 599, 1380, 4739, 15597, 35933, 123396, 406121, 935638, 3213035, 10574743, 24362521, 83662306, 275349439, 634361184, 2178432991, 7169660157, 16517753305, 56722920072, 186686513521, 430095947114 (list; graph; listen)
OFFSET

1,3

FORMULA

M[n_] := {{0, 1}, {1, 1 + Mod[n^2 - n - 1, 3]} } v[1] = {0, 1} v[n_] := v[n] = M[n].v[n - 1] a(n) = v[n][[1]]

MATHEMATICA

M[n_] := {{0, 1}, {1, 1 + Mod[n^2 - n - 1, 3]} } v[1] = {0, 1} v[n_] := v[n] = M[n].v[n - 1] a = Table[v[n][[1]], {n, 1, 30}]

CROSSREFS

Cf. A001053.

Sequence in context: A049001 A049002 A011757 this_sequence A041159 A034546 A010748

Adjacent sequences: A121960 A121961 A121962 this_sequence A121964 A121965 A121966

KEYWORD

nonn,uned

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 02 2006

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.


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