|
| |
|
|
A005684
|
|
Number of Twopins positions.
(Formerly M1019)
|
|
1
| |
|
|
1, 2, 4, 6, 11, 18, 32, 52, 88, 142, 236, 382, 629, 1018, 1664, 2692, 4383, 7092, 11520, 18640, 30232, 48916, 79264, 128252, 207705, 336074, 544084
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 6,2
|
|
|
REFERENCES
| R. K. Guy, ``Anyone for Twopins?,'' in D. A. Klarner, editor, The Mathematical Gardner. Prindle, Weber and Schmidt, Boston, 1981, pp. 2-15.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
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^6/(1-2x+2x^3-3x^4+2x^5+x^8). - R. Stephan, Apr 21 2004
|
|
|
MAPLE
| A005684:=1/(z**2-z+1)/(z**2+z-1)/(z**4+z**2-1); [S. Plouffe in his 1992 dissertation.]
|
|
|
CROSSREFS
| Sequence in context: A168445 A185192 A007053 * A018167 A140443 A115992
Adjacent sequences: A005681 A005682 A005683 * A005685 A005686 A005687
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
