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Search: id:A055024
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| A055024 |
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Number of 1-punctured staircase polygons (by perimeter) with a hole of perimeter 6. |
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+0
1
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 54, 717, 6836, 53696, 371464, 2349981, 13915712, 78331106, 423642906, 2218481677, 11313458780, 56431232688, 276253783984, 1330866576164, 6323282609184, 29682658858324, 137864087593740
(list; graph; listen)
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OFFSET
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0,11
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REFERENCES
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Guttmann, A.J. et al., Punctured polygons and polyominoes on the square lattice, J. Physics A: Math. and Gen, 33 (9) (2000), 1735-1764.
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MAPLE
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gf := (1 - 26*x + 228*x^2 - 906*x^3 + 1709*x^4 - 1378*x^5 + 322*x^6)/(2*(1 - 4*x)^(5/2)) - (32*x^6 - 404*x^5 + 815*x^4 - 586*x^3 + 182*x^2 - 24*x + 1)/(2*(1 - 4*x)^2): s := series(gf, x, 50): for i from 0 to 50 do printf(`%d, `, coeff(s, x, i)) od:
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CROSSREFS
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Sequence in context: A083471 A078691 A113028 this_sequence A057411 A157058 A071798
Adjacent sequences: A055021 A055022 A055023 this_sequence A055025 A055026 A055027
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KEYWORD
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easy,nonn
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AUTHOR
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James A. Sellers (sellersj(AT)math.psu.edu), May 31 2000
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