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A005441 Number of isonemal fabrics of period exactly n.
(Formerly M3230)
3
1, 1, 4, 4, 9, 8, 55, 21, 104, 62, 429, 196, 800, 698, 4674, 2070, 7721, 7154 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,3
REFERENCES
B. Grünbaum and G. C. Shephard, The geometry of fabrics, pp. 77-97 of F. C. Holroyd and R. J. Wilson, editors, Geometrical Combinatorics. Pitman, Boston, 1984. [gives different a(10) which is probably erroneous]
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Branko Grünbaum and G. C. Shephard, A catalogue of isonemal fabrics, Discrete Geometry and Convexity, 440 (1985), 279-298.
B. Grünbaum and G. C. Shephard, An extension to the catalogue of isonemal fabrics, Discrete Mathematics, 60, (1986), 155-192.
FORMULA
a(n) = A000046(n) + A193140(n) + A262589(n).
CROSSREFS
Sequence in context: A049723 A010661 A051668 * A362294 A198497 A231980
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
a(14)-a(19) from second Grünbaum and Shephard paper added by Sean A. Irvine, Jun 26 2016
a(10) corrected by Andrey Zabolotskiy, Apr 14 2023
STATUS
approved

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Last modified February 24 11:15 EST 2024. Contains 370303 sequences. (Running on oeis4.)