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Search: id:A062715
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| A062715 |
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Triangle T(i,j) (i >= -1, -1<=j<=i) whose (i,j)-th entry is 1 if j=-1 otherwise binomial(i,j)*2^(i-j). |
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+0
2
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| 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 8, 12, 6, 1, 1, 16, 32, 24, 8, 1, 1, 32, 80, 80, 40, 10, 1, 1, 64, 192, 240, 160, 60, 12, 1, 1, 128, 448, 672, 560, 280, 84, 14, 1, 1, 256, 1024, 1792, 1792, 1120, 448, 112, 16, 1, 1, 512, 2304, 4608, 5376, 4032, 2016, 672, 144, 18, 1, 1, 1024, 5120, 11520, 15360, 13440
(list; table; graph; listen)
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OFFSET
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-1,5
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COMMENT
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As an upper right triangle, table rows give numbers of empty sets, points, edges, faces, cubes, 4D hypercubes etc. in hypercubes of increasing dimension by column.
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REFERENCES
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B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121.
S. J. Cyvin et al., Unbranched catacondensed polygonal systems containing hexagons and tetragons, Croatica Chem. Acta, 69 (1996), 757-774.
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EXAMPLE
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1; 1,1; 1,2,1; 1,4,4,1; 1,8,12,6,1; ...
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CROSSREFS
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Cf. A038207.
Sequence in context: A056588 A156006 A137854 this_sequence A100631 A154867 A064298
Adjacent sequences: A062712 A062713 A062714 this_sequence A062716 A062717 A062718
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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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