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A146890 a(n) is the maximal size of a set of lines in the complex n-dimensional space C^n with the property that all the subtriples of lines are pairwise congruent. +0
1
1, 4, 4, 8, 8, 12, 12, 16, 16 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) is also the largest integer such that the (n-1)-dimensional complex projective space CP^(n-1) contains an F-regular subset of a(n) points (n>1).

a(n)=2n if and only if there exists a skew conference matrix of order 2n.

REFERENCES

B. Et-Taoui, Sur les m-uples F-reguliers dans les espaces projectifs complexes, Geom. Dedicata, 63(1996), 297-308.

B. Et-Taoui, Equiangular lines in C^r, Indag. Mathem., N.S., 11(2000), 201-207.

B. Et-Taoui, Equiangular lines in C^r (part II), Indag. Mathem., N.S., 13(2002), 483-486.

EXAMPLE

a(10)=a(11)=20, a(12)=a(13)=24, a(14)=a(15)=28, a(16)=a(17)=32, a(18) and a(19) are between 32 and 36.

CROSSREFS

Sequence in context: A105675 A053249 A071339 this_sequence A145447 A101921 A093340

Adjacent sequences: A146887 A146888 A146889 this_sequence A146891 A146892 A146893

KEYWORD

nonn

AUTHOR

Boumediene Et-Taoui (boumediene.ettaoui(AT)uha.fr), Apr 16 2009

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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