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A337019
Maximum number of circles with unit area that can be packed into an equilateral triangle with an area of n.
5
0, 1, 1, 1, 3, 3, 4, 6, 6, 6, 7, 8, 10, 10, 10, 11, 12, 13, 15
OFFSET
1,5
COMMENTS
Are a(17) = 12 and a(18) = 13 proved? They look likely to be no more difficult to prove than some of the earlier terms, and are demonstrably lower bounds by the figures in the Friedman link. - Peter Munn, Apr 25 2023
The packing density, a(n)/n, approaches sqrt(3)*Pi/6 (approximately 0.9069) as n tends to infinity.
FORMULA
Limit_{n->oo} a(n)/n = A093766.
CROSSREFS
Sequence in context: A074883 A338015 A196245 * A092200 A130481 A145805
KEYWORD
nonn,more
AUTHOR
Ya-Ping Lu, Nov 05 2020
EXTENSIONS
Terms corrected by Andrew Howroyd and Peter Munn, Apr 23 2023
STATUS
approved