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A084117
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Multiplicity of the factor (1+x+x^2) in the characteristic polynomial modulo 2 of the symmetric matrix with entries binomial(i+j,i), 0<=i,j<n.
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0
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0, 0, 1, 0, 1, 0, 3, 2, 3, 2, 5, 0, 3, 2, 5, 4, 5, 4, 7, 2, 5, 0, 11, 6, 9, 8, 11, 6, 9, 8, 11, 10, 11, 10, 13, 8, 11, 6, 17, 12, 15, 10, 21, 0, 11, 6, 17, 12, 15, 14, 17, 12, 15, 10, 21, 16, 19, 18, 21, 16, 19, 18, 21, 20, 21, 20, 23, 18, 21, 16, 27, 22, 25, 20, 31, 10, 21, 16, 27, 22, 25
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,7
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REFERENCES
| R. Bacher and R. Chapman, Symmetric Pascal matrices modulo p, European J. Combin. 25 (2004), no. 4, 459-473.
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FORMULA
| a(2n) = n - a(n). - Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 07 2003
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CROSSREFS
| Cf. A085015.
Sequence in context: A198729 A093489 A066919 * A116895 A134267 A165258
Adjacent sequences: A084114 A084115 A084116 * A084118 A084119 A084120
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KEYWORD
| easy,nonn
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AUTHOR
| Roland Bacher (roland.bacher(AT)ujf-grenoble), Jun 18 2003
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