|
| |
|
|
A006186
|
|
Number of pair-coverings with largest block size 4.
(Formerly M3773)
|
|
0
| | |
|
|
|
OFFSET
| 4,2
|
|
|
COMMENTS
| 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 * A180748 A121901 A156288
Adjacent sequences: A006183 A006184 A006185 * A006187 A006188 A006189
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|