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Search: id:A034852
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| A034852 |
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Rows of (Pascal's triangle - Losanitsch's triangle) (n >= 0, k >= 0). |
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+0
3
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| 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 4, 4, 2, 0, 0, 3, 6, 10, 6, 3, 0, 0, 3, 9, 16, 16, 9, 3, 0, 0, 4, 12, 28, 32, 28, 12, 4, 0, 0, 4, 16, 40, 60, 60, 40, 16, 4, 0, 0, 5, 20, 60, 100, 126, 100, 60, 20, 5, 0, 0, 5, 25, 80, 160, 226, 226, 160, 80, 25, 5, 0, 0, 6, 30, 110, 240
(list; table; graph; listen)
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OFFSET
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0,12
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COMMENT
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Also number of linear unbranched n-4-catafusenes of C_{2v} symmetry.
Number of n-bead black-white reversible strings with k black beads; also binary grids; string is not palindromic. - Yosu Yurramendi (yosu.yurramendi(AT)ehu.es), Aug 08 2008
The first seven columns are A004526, A002620, A006584, A032091, A032092, A032093, A032094. Row sums give A141447. - Yosu Yurramendi (yosu.yurramendi(AT)ehu.es), Aug 08 2008
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REFERENCES
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S. J. Cyvin et al., Unbranched catacondensed polygonal systems containing hexagons and tetragons, Croatica Chem. Acta, 69 (1996), 757-774.
S. M. Losanitsch, Die Isomerie-Arten bei den Homologen der Paraffin-Reihe, Chem. Ber. 30 (1897), 1917-1926.
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LINKS
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N. J. A. Sloane, Classic Sequences
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FORMULA
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Equals (A007318-A051159)/2. - Yosu Yurramendi (yosu.yurramendi(AT)ehu.es), Aug 08 2008
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EXAMPLE
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0; 0 0; 0 1 0; 0 1 1 0; 0 2 2 2 0; 0 2 4 4 2 0; ...
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CROSSREFS
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Cf. A007318, A034851, A051159.
Essentially the same as A034877.
Sequence in context: A089789 A004541 A037864 this_sequence A112790 A110857 A108867
Adjacent sequences: A034849 A034850 A034851 this_sequence A034853 A034854 A034855
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KEYWORD
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nonn,tabl,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 04 2000
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