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A005690
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Number of Twopins positions.
(Formerly M0999)
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1
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1, 2, 4, 6, 9, 12, 18, 26, 41, 62, 96, 142, 212, 308, 454, 662, 979, 1438, 2128, 3126, 4606, 6748, 9910, 14510, 21298, 31212, 45820, 67176, 98571, 144476
(list; graph; refs; listen; history; internal format)
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OFFSET
| 8,2
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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).
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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.
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FORMULA
| G.f.: [x^8]/[(x^3-x+1)(x^3+x-1)(x^6+x^2-1)]. - Ralf Stephan, Apr 22 2004
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MAPLE
| A005690:=1/(z**3+z-1)/(z**3-z+1)/(z**6+z**2-1); [Conjectured (correctly) by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
| Sequence in context: A079492 A173784 A094660 * A005779 A098387 A135072
Adjacent sequences: A005687 A005688 A005689 * A005691 A005692 A005693
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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