|
Search: id:A005685
|
|
|
| A005685 |
|
Number of Twopins positions.
(Formerly M0664)
|
|
+0
1
|
|
| 1, 2, 3, 5, 7, 11, 16, 26, 40, 65, 101, 163, 257, 416, 663, 1073, 1719, 2781, 4472, 7236, 11664, 18873, 30465, 49293, 79641, 128862, 208315, 337061, 545071
(list; graph; listen)
|
|
|
OFFSET
|
4,2
|
|
|
REFERENCES
|
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.
R. K. Guy, ``Anyone for Twopins?,'' in D. A. Klarner, editor, The Mathematical Gardner. Prindle, Weber and Schmidt, Boston, 1981, pp. 2-15.
|
|
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.
|
|
FORMULA
|
G.f.: [x^4(x^7+x^6+x^5+2x^4-x^3+x^2-1)]/[(x^4+x^2-1)(x^2-x+1)(x^2+x-1)]. - R. Stephan, Apr 21 2004
|
|
MAPLE
|
A005685:=-(-1-z**3+2*z**4+z**2+z**5+z**6+z**7)/(z**2-z+1)/(z**2+z-1)/(z**4+z**2-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
|
|
CROSSREFS
|
Sequence in context: A018057 A130137 A091980 this_sequence A092180 A050298 A094751
Adjacent sequences: A005682 A005683 A005684 this_sequence A005686 A005687 A005688
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
|
Search completed in 0.002 seconds
|
