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A182634
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Toothpick sequence on hexagonal net starting at the vertex of an infinite 120-degree wedge.
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8
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0, 1, 3, 7, 11, 15, 23, 35, 43, 47, 55, 71, 91, 107, 127, 155, 171, 175, 183, 199, 219, 239, 267, 311, 355, 379, 399, 439, 495, 543, 595, 659, 691, 695, 703, 719, 739, 759, 787, 831, 875, 903, 931, 983, 1059, 1135, 1211
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OFFSET
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0,3
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COMMENTS
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The sequence gives the number of toothpicks after n stages. A182635 (the first differences) gives the number added at the n-th stage.
The 120-degree wedge defines a conic region which toothpicks (except one end point of the initial toothpick) are not allowed to cross or touch. The wings of the wedge point +-60 degrees away from the pointing direction of the initial toothpick.
Toothpicks are connected by their endpoints, the same as the toothpicks of A182632.
First differs from A139250 at a(11).
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LINKS
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FORMULA
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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