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Heights at which a Minecraft boat-drop will break up.
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%I #19 Apr 28 2024 11:09:52

%S 12,13,49,51,111,114,198,202,310,315

%N Heights at which a Minecraft boat-drop will break up.

%H Mojang Studios, <a href="https://bugs.mojang.com/browse/MC-119369">Boats crash/break and can kill their passengers when falling certain distances</a> contains the bug report relating to this list.

%H Matt Parker, <a href="https://www.youtube.com/watch?v=ei58gGM9Z8k">The Minecraft boat-drop mystery</a>.

%F a(n) = (50*n^2 + 50*n + 23 - 23*(-1)^n*(1+2*n)) / 16. - _Robert P. P. McKone_, Apr 03 2024

%t Table[{k*(25 k - 1)/2, k*(25 k + 1)/2}, {k, 1, 5}] // Flatten (* _Robert P. P. McKone_, Apr 03 2024 *)

%K nonn,fini,full

%O 1,1

%A _Douglas Boffey_, Apr 03 2024

%E a(7)-a(10) corrected by _Robert P. P. McKone_, Apr 03 2024