cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A005866 The coding-theoretic function A(n,8).

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 8, 16, 32, 36, 64, 128, 256, 512, 1024, 2048, 4096
Offset: 1

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Comments

Since A(n,7) = A(n+1,8), A(n,7) gives essentially the same sequence.
The next term, A(25,8), is known to be at least 4096 and at most 5421. - Moshe Milshtein, Dec 03 2018

References

  • J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 248.
  • F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1978, p. 674.
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Crossrefs

Cf. A005864: A(n,4) and A(n,3), A005865: A(n,6) and A(n,5).
Cf. A005851: A(n,8,5), A005852: A(n,8,6), A005853: A(n,8,7), A004043: A(n,8,8).

Extensions

a(18)-a(24) from Moshe Milshtein, Dec 03 2018

A004043 The coding-theoretic function A(n,8,8).

Original entry on oeis.org

1, 1, 1, 1, 3, 3, 7, 15, 30, 34
Offset: 8

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Comments

According to Brouwer's web site, 46 <= a(18) <= 49, and a(19..24) = (78, 130, 210, 330, 506, 759). This matches A030069. - M. F. Hasler, May 25 2017

References

  • CRC Handbook of Combinatorial Designs, 1996, p. 411.

Crossrefs

Cf. A005851: A(n,8,5), A005852: A(n,8,6), A005853: A(n,8,7).
Cf. A005866: A(n,8); A030069 (size of d=8, w=8 lexicographic codes).

A005851 The coding-theoretic function A(n,8,5).

Original entry on oeis.org

1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 6, 6, 7, 9, 12, 16, 21, 21, 23, 24, 30, 30
Offset: 5

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Author

Keywords

Comments

Packing number D(n,5,2). Maximum number of edge-disjoint K_5's in a K_n. - Rob Pratt, Feb 26 2024

References

  • CRC Handbook of Combinatorial Designs, 1996, p. 411.
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Crossrefs

Cf. A005852: A(n,8,6), A005853: A(n,8,7), A004043: A(n,8,8).
Cf. A005866: A(n,8).

Extensions

The version in the Encyclopedia of Integer Sequences had 1 instead of 2 at n=9.
Showing 1-3 of 3 results.