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A062715 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). +0
2
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)
OFFSET

-1,5

COMMENT

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.

REFERENCES

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.

EXAMPLE

1; 1,1; 1,2,1; 1,4,4,1; 1,8,12,6,1; ...

CROSSREFS

Cf. A038207.

Sequence in context: A056588 A156006 A137854 this_sequence A100631 A154867 A064298

Adjacent sequences: A062712 A062713 A062714 this_sequence A062716 A062717 A062718

KEYWORD

nonn,tabl,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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