A334456 -id:A334456 - cp's OEIS frontend

A334457 Block sizes k of nontrivial biplanes.

4, 5, 6, 9, 11, 13, 16

Offset: 1

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Stefano Spezia, Apr 30 2020

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A biplane is an incidence structure consisting of a set P of h points and a set of h blocks, each of which is an k-subset of P (block size k), such that every pair of points lies in exactly 2 blocks (see Alavi et al.).

Seyed Hassan Alavi, Ashraf Daneshkhah, Cheryl E Praeger, Symmetries of biplanes, arXiv:2004.04535 [math.GR], 2020. See Introduction p. 1.
P. Kaski and P. R. J. Östergård. There are exactly five biplanes with k = 11, J. Combin. Des., 16(2):117-127, 2008.

Cf. A001109, A003409, A038723, A038725, A054490, A334456 (h).

cp's OEIS Frontend

A334457 Block sizes k of nontrivial biplanes.

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