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A084117 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. +0
1
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; listen)
OFFSET

0,7

REFERENCES

R. Bacher and R. Chapman, Symmetric Pascal matrices modulo p, European J. Combin. 25 (2004), no. 4, 459-473.

FORMULA

a(2n) = n - a(n). - Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 07 2003

CROSSREFS

Cf. A085015.

Sequence in context: A039641 A093489 A066919 this_sequence A116895 A134267 A092962

Adjacent sequences: A084114 A084115 A084116 this_sequence A084118 A084119 A084120

KEYWORD

easy,nonn

AUTHOR

Roland Bacher (roland.bacher(AT)ujf-grenoble), Jun 18 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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