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Search: id:A004116
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| A004116 |
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[ (n^2 + 6n - 3)/4 ].
(Formerly M2524)
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+0
2
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| 1, 3, 6, 9, 13, 17, 22, 27, 33, 39, 46, 53, 61, 69, 78, 87, 97, 107, 118, 129, 141, 153, 166, 179, 193, 207, 222, 237, 253, 269, 286, 303, 321, 339, 358, 377, 397, 417, 438, 459
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n)-3 is the maximal size of a regular triangulation of a prism over a regular n-gon.
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REFERENCES
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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. Alter and J. A. Barnett, A postage stamp problem, Amer. Math. Monthly, 87 (1980), 206-210.
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LINKS
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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.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 420
M. Develin, Maximal triangulations of a regular prism
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MAPLE
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A004116:=(-1-z+z**3)/(z+1)/(z-1)**3; [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A109512 A025205 A024190 this_sequence A004129 A004137 A080060
Adjacent sequences: A004113 A004114 A004115 this_sequence A004117 A004118 A004119
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KEYWORD
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nonn
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AUTHOR
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njas
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