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 A263135 The maximum number of penny-to-penny connections when n pennies are placed on the vertices of a hexagonal tiling. 1
 0, 0, 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 25, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 41, 42, 43, 45, 46, 48, 49, 50, 52, 53, 55, 56, 57, 59, 60, 62, 63, 64, 66, 67, 69, 70, 72, 73, 74, 76, 77, 79, 80, 81, 83, 84, 86, 87, 89, 90 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS a(A033581(n)) = A152743(n). 1 <= a(n+1) - a(n) <=2 for all n > 0. Lim_{n -> infinity} a(n)/n = 3/2. Conjecture: a(2*n) - A047932(n) = A216256(n) for n > 0. LINKS Peter Kagey, Table of n, a(n) for n = 0..10000 EXAMPLE .           |            |     o o     . .           |      o o   |  o o   o o  . .    o o    |   o o   o  | o   o o   o . .   o   o   |  o   o o   |  o o   o o  . .    o o    |   o o      | o   o o   o . .           |            |  o o   o o  . .           |            |     o o     . .           |            |             . . f(6) = 6  | f(10) = 11 | f(24) = 30  . CROSSREFS Cf. A047932 (triangular tiling), A123663 (square tiling). Cf. A033581, A152743. Sequence in context: A023799 A267306 A001959 * A119930 A173552 A188010 Adjacent sequences:  A263132 A263133 A263134 * A263136 A263137 A263138 KEYWORD nonn AUTHOR Peter Kagey, Oct 10 2015 STATUS approved

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Last modified March 18 22:07 EDT 2019. Contains 321305 sequences. (Running on oeis4.)