A351783 Number of grains of sand required to be added to one cell at the origin in an initially empty and infinite 3D cubic grid for the 3D sandpile model such that the distance from the origin of the furthest nonempty cell along the axes is n.
0, 6, 36, 162, 516, 1230, 2430, 3756, 5862, 9036, 12822, 16710, 22182, 28758, 36144, 45444, 54966, 66270, 78870, 93834, 109866, 127260, 146412, 169698, 192366, 218214, 244752, 273480, 307224, 341430, 380988, 420558, 463350, 510024, 558090, 611088, 664494, 723060, 784014, 844134, 921486
Offset: 0
Keywords
Links
- Per Bak, Chao Tang, and Kurt Wiesenfeld, Self-organized criticality: An explanation of the 1/f noise, Phys. Rev. Lett. 59 (1987), 381-384.
- Laura Florescu, Daniela Morar, David Perkinson, Nicholas Salter, and Tianyuan Xu, Sandpiles and Dominos, Electronic Journal of Combinatorics, Volume 22(1), 2015.
- Luis David Garcia-Puente and Brady Haran, Sandpiles, Numberphile video, YouTube.com, Jan. 13, 2017.
- Zach J. Shannon, Image of the occupied cells for a(40)=921486. For this and the below image, red=1, green=2, blue=3, violet=4, orange=5 grains per cell. The axes are in the middle of the red squares.
- Zach J. Shannon, Image of the occupied cells for a(40)=921486, bisected along the y-z plane.
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