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A126570
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Triangle read by rows: row n gives coefficients (ignoring the alternating signs) of the characteristic polynomial of the n X n circulant matrix with first two rows [2,1,0,...,0,1], [1,2,1,0,...,0].
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0
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1, 1, 2, 1, 4, 3, 1, 6, 10, 5, 1, 8, 21, 20, 4, 1, 10, 36, 56, 35, 7, 1, 12, 55, 120, 126, 56, 6
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OFFSET
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1,3
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REFERENCES
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William G. Harter, Physics Department, University of Arkansas; personal communication.
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LINKS
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EXAMPLE
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First few rows of the triangle are:
1;
1, 2;
1, 4, 3;
1, 6, 10, 5;
1, 8, 21, 20, 4;
1, 10, 36, 56, 35, 7;
1, 12, 55, 120, 126, 56, 6;
...
Example: Charpoly of the 4 X 4 matrix [2,1,0,1; 1,2,1,0; 0,1,2,1; 0,0,1,2] = x^4 - 8*x^3 + 21*x^2 - 20*x + 4; with a root sqrt(3)+2.
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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