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A301722
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Coordination sequence for node of type V2 in "krb" 2-D tiling (or net).
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38
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1, 5, 10, 15, 22, 27, 31, 38, 43, 47, 54, 59, 63, 70, 75, 79, 86, 91, 95, 102, 107, 111, 118, 123, 127, 134, 139, 143, 150, 155, 159, 166, 171, 175, 182, 187, 191, 198, 203, 207, 214, 219, 223, 230, 235, 239, 246, 251, 255, 262, 267, 271, 278, 283, 287, 294, 299, 303, 310, 315, 319, 326, 331, 335
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OFFSET
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0,2
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COMMENTS
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Linear recurrence and g.f. confirmed by Shutov/Maleev link. - Ray Chandler, Aug 30 2023
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REFERENCES
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Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987. See Table 2.2.1, page 66, 1st row, 2nd tiling.
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LINKS
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FORMULA
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G.f.: (-x^6+3*x^4+4*x^3+5*x^2+4*x-1)/(x^4-x^3-x+1). - Ray Chandler, Aug 30 2023
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MATHEMATICA
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LinearRecurrence[{1, 0, 1, -1}, {1, 5, 10, 15, 22, 27, 31}, 100] (* Paolo Xausa, Nov 16 2023 *)
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CROSSREFS
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Coordination sequences for the 20 2-uniform tilings in the order in which they appear in the Galebach catalog, together with their names in the RCSR database (two sequences per tiling): #1 krt A265035, A265036; #2 cph A301287, A301289; #3 krm A301291, A301293; #4 krl A301298, A298024; #5 krq A301299, A301301; #6 krs A301674, A301676; #7 krr A301670, A301672; #8 krk A301291, A301293; #9 krn A301678, A301680; #10 krg A301682, A301684; #11 bew A008574, A296910; #12 krh A301686, A301688; #13 krf A301690, A301692; #14 krd A301694, A219529; #15 krc A301708, A301710; #16 usm A301712, A301714; #17 krj A219529, A301697; #18 kre A301716, A301718; #19 krb A301720, A301722; #20 kra A301724, A301726.
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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