login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001231 Number of nonisomorphic projective planes of order n. 2
1, 1, 1, 1, 0, 1, 1, 4, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,8

COMMENTS

The Bruck-Ryser theorem says that a(n)=0 if n == 1 or 2 (mod 4) and is not the sum of two squares.

REFERENCES

CRC Handbook of Combinatorial Designs, 1996, p. 695.

Handbook of Combinatorics, North-Holland '95, p. 672.

LINKS

Table of n, a(n) for n=2..10.

C. W. H. Lam, Publications

C. W. H. Lam, The Search for a Finite Projective Plane of Order 10, American Mathematical Monthly, 98, (no. 4) 1991, 305 - 318.

C. W. H. Lam, G. Kolesova and S. Swiercz, A computer search for finite projective planes of order 9, Discrete Math., 92 (1991), 187-195.

C. W. H. Lam, L. Thiel and S. Swiercz, The non-existence of finite projective planes of order 10, Canad. J. Math., 41 (1989), 1117-1123.

G. Eric Moorhouse, Projective Planes of Small Order

N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).

Eric Weisstein's World of Mathematics, Projective Planes

CROSSREFS

Sequence in context: A058473 A115527 A050920 * A089418 A274981 A124856

Adjacent sequences:  A001228 A001229 A001230 * A001232 A001233 A001234

KEYWORD

nonn,hard,more,nice

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 24 10:42 EDT 2022. Contains 356372 sequences. (Running on oeis4.)