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A006186 Number of pair-coverings with largest block size 4.
(Formerly M3773)
+0
1
1, 5, 8, 10, 11, 12, 12, 13, 13 (list; graph; listen)
OFFSET

4,2

COMMENT

The g.f. (1+5*z+6*z**2+z**3)/(z-1)/(z**2-z-1) conjectured by S. Plouffe in his 1992 dissertation is probably wrong.

REFERENCES

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

R. G. Stanton, J. L. Allston and D. D. Cowan, Pair-coverings with restricted largest block length, Ars Combin., 11 (1981), 85-98.

LINKS

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

CROSSREFS

Sequence in context: A051220 A102785 A127493 this_sequence A121901 A156288 A049195

Adjacent sequences: A006183 A006184 A006185 this_sequence A006187 A006188 A006189

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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