A005857 - OEIS

A005857

The coding-theoretic function A(n,12,7).
(Formerly M0216)

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8, 8, 9, 9, 10, 11, 12, 15, 16, 17, 19

(list; graph; refs; listen; history; text; internal format)

OFFSET

7,7

COMMENTS

Packing number D(n,7,2). Maximum number of edge-disjoint K_7's in a K_n. - Rob Pratt, Feb 26 2024

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=7..38.

A. E. Brouwer, Bounds for binary constant weight codes

A. E. Brouwer, J. B. Shearer, N. J. A. Sloane, and W. D. Smith, New table of constant weight codes, IEEE Trans. Info. Theory 36 (1990), 1334-1380.

Index entries for sequences related to A(n,d,w)

CROSSREFS

Sequence in context: A111890 A104277 A125893 * A025809 A204591 A279220

Adjacent sequences: A005854 A005855 A005856 * A005858 A005859 A005860

KEYWORD

nonn,hard,more

AUTHOR

N. J. A. Sloane.

EXTENSIONS

The version in the Encyclopedia of Integer Sequences had 1 instead of 2 at n=13.

a(29)-a(38) from Rob Pratt, Feb 26 2024

STATUS

approved

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