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 A355479 a(n) is the number of distinct honeycomb cell walls built after the n-th step of the walk described in A355478. 4
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 20, 20, 20, 20, 21, 22, 23, 24, 24, 25, 26, 27, 28, 29, 30, 31, 31, 31, 31, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 40, 41, 42, 42, 43, 44, 45, 46, 46, 46, 47, 47, 48, 49, 50, 51, 51, 51 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS See A355478 for more information, animations, and illustration of selected terms. LINKS Paolo Xausa, Table of n, a(n) for n = 0..9999 Index entries for sequences related to walks EXAMPLE In the following diagrams the walk is shown at the end of the n-th step, together with the position of the bee (*). . n 0 1 8 28 60 a(n) 0 1 8 24 47 __ __/ \*_ * __* __ __ / \__/ \__ \ \__ \__/ \__ \__ / / \__ \__/ \__/ \__ \ \*_ \__ \__/ \__ \__ / / \ \ / \ \ \ \__/ __/ \__/ __/ / / __/ / __/ \* \__/ \__/ . MATHEMATICA A355479[nmax_]:=Module[{a={0}, w={}, p1={0, 0}, p2, angle=0}, Do[w=Union[w, {Sort[{p1, p2=AngleVector[p1, angle+=If[PrimeQ[n], -1, 1]Pi/3]}]}]; p1=p2; AppendTo[a, Length[w]], {n, nmax}]; a]; A355479[100] (* Paolo Xausa, Jan 05 2023 *) CROSSREFS Cf. A174313, A211020, A233399, A355478, A355480, A357434. Sequence in context: A272215 A323366 A030066 * A192438 A081331 A296088 Adjacent sequences: A355476 A355477 A355478 * A355480 A355481 A355482 KEYWORD nonn,walk AUTHOR Paolo Xausa, Jul 18 2022 STATUS approved

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Last modified December 3 19:10 EST 2023. Contains 367540 sequences. (Running on oeis4.)