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A138017 Sequence generated by incidence matrix of the Fano plane, PG(2,2). +0
1
1, 3, 5, 15, 37, 111, 317, 951, 2821, 8463, 25325, 75975, 227797, 683391, 2049917, 6149751, 18448741, 55346223 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n)/a(n-1) tends to 3, an eigenvalue of the matrix.

REFERENCES

Mathworld (Projective plane).

FORMULA

Let X = the 7x7 incidence matrix of the Fano plane PG(2,2): [1,1,1,0,0,0,0; 1,0,0,1,1,0,0; 1,0,0,0,0,1,1; 0,1,0,1,0,1,0; 0,1,0,0,1,0,1; 0,0,1,1,0,0,1; 0,0,1,0,1,1,0]. a(n) = the upper left term in X^n.

EXAMPLE

a(5) = 37, the upper left term of X^5.

CROSSREFS

Sequence in context: A089485 A146212 A018516 this_sequence A148503 A145939 A161703

Adjacent sequences: A138014 A138015 A138016 this_sequence A138018 A138019 A138020

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 28 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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