The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.



(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A329871 Number of static n X n placements of water source-blocks in Minecraft. 4
1, 2, 10, 55, 754, 18853, 82931, 70143802, 11087020614, 3243227117597, 1772826333285009, 1806938280429412270, 3430002591378184399879, 12137184871791092506807847, 80047171080361800628780500638, 983838070049011459232146327319193 (list; graph; refs; listen; history; text; internal format)



In Minecraft worlds, a source block of water can be reacted with another source block, two blocks away, linearly or diagonally. This reaction creates a third "infinite" source block in the unoccupied intermediate block or blocks, so called because if the intermediate water source is destroyed or picked up by a player using a bucket, it will immediately regenerate itself.

A placement of water at several positions in an n X n board is said to be static if no infinite water sources are created that are not already present. In particular, the total quantity of water in the system is held constant.


Table of n, a(n) for n=0..15.

EthosLab, Minecraft - Tutorial: Water

Gus Wiseman, The a(3) = 55 static placements of water source-blocks (black = water).

Christopher Cormier, C# Program


vdist[v_, w_]:=Total[Abs[v-w]];

flowdown[prs_]:=Union[prs, With[{ovs=Select[Subsets[prs, {2}], vdist@@#==2&]}, Union@@Function[{v, w}, Select[Tuples[{Range[Min@@Union[First/@prs], Max@@Union[First/@prs]], Range[Min@@Union[Last/@prs], Max@@Union[Last/@prs]]}], vdist[v, #]==1&&vdist[w, #]==1&]]@@@ovs]];

Table[Length[Select[Subsets[Tuples[Range[n], 2]], flowdown[#]==#&]], {n, 0, 3}]


Dominates A273461.

The one-dimensional case is A005251.

Cf. A002416, A006498, A027624, A114901.

Sequence in context: A216721 A122826 A320129 * A108490 A323935 A165817

Adjacent sequences:  A329868 A329869 A329870 * A329872 A329873 A329874




Gus Wiseman, Nov 26 2019


a(5)-a(6) from Christopher Cormier, Dec 10 2019

a(7)-a(15) from Christopher Cormier, Dec 19 2019



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 25 20:04 EST 2020. Contains 332258 sequences. (Running on oeis4.)