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A240841
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Floor(8^n/(1+2*sin(6*Pi/13)/(2*sin(Pi/13)))^n).
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6
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1, 1, 2, 3, 5, 9, 14, 21, 34, 52, 82, 127, 198, 308, 478, 744, 1156, 1796, 2792, 4339, 6742, 10477, 16282, 25302, 39318, 61100, 94947, 147545, 229281, 356295, 553672, 860388, 1337014, 2077676, 3228640, 5017200, 7796562, 12115600, 18827241, 29256909, 45464268
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OFFSET
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0,3
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COMMENTS
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a(n) is the perimeter (rounded down) of a tridecaflake after n iterations, let a(0) = 1. The total number of sides is 13*A001018(n). The total number of holes is A091030(n), n >= 1.
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LINKS
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MAPLE
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MATHEMATICA
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Table[Floor[8^n/(1 + 2*Sin[6*Pi/13]/(2*Sin[Pi/13]))^n], {n, 0, 50}] (* Wesley Ivan Hurt, Apr 13 2014 *)
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PROG
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(PARI) {a(n)=floor(8^n/(1+2*sin(6*Pi/13)/(2*sin(Pi/13)))^n}; for (n=0, 100, print1(a(n), ", "))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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