970 B
970 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4cb1000cf542c50ffde | Problem 351: Hexagonal orchards | 5 | 302011 | problem-351-hexagonal-orchards |
--description--
A hexagonal orchard of order n is a triangular lattice made up of points within a regular hexagon with side n. The following is an example of a hexagonal orchard of order 5:
Highlighted in green are the points which are hidden from the center by a point closer to it. It can be seen that for a hexagonal orchard of order 5, 30 points are hidden from the center.
Let H(n) be the number of points hidden from the center in a hexagonal orchard of order n.
H(5) = 30. H(10) = 138. H(1 000) = 1177848.
Find H(100 000 000).
--hints--
euler351()
should return 11762187201804552.
assert.strictEqual(euler351(), 11762187201804552);
--seed--
--seed-contents--
function euler351() {
return true;
}
euler351();
--solutions--
// solution required