A256043
Order of all-2s configuration on the 2n X 2n sandpile grid graph.
Original entry on oeis.org
1, 3, 29, 901, 89893, 5758715, 22687425
Offset: 1
- Laura Florescu, Daniela Morar, David Perkinson, Nicholas Salter, Tianyuan Xu, Sandpiles and Dominos, Illustration of recurrent identity element for the sandpile grid graph [Figure 1 from Sandpiles and Dominos paper] [Le Borgne et al., 2002, show a very similar figure - see Fig. 7.]
- Laura Florescu, Daniela Morar, David Perkinson, Nicholas Salter, and Tianyuan Xu, Sandpiles and Dominos, Electronic Journal of Combinatorics, Volume 22(1), 2015. Also arXiv:1406.0100, May 31 2014. [Mentions this sequence together with a different sequence (A065072) with the same initial terms]
- Le Borgne, Yvan, and Dominique Rossin, On the identity of the sandpile group, Discrete mathematics 256.3 (2002): 775-790.
- David Perkinson, Lecture 15: Sandpiles, PCMI 2008 Undergraduate Summer School. Gives a(7).
Bisection of main diagonal of
A256045.
A256045
Triangle read by rows: order of all-2s configuration on the n X k sandpile grid graph.
Original entry on oeis.org
2, 3, 1, 7, 7, 8, 11, 5, 71, 3, 26, 9, 679, 77, 52, 41, 13, 769, 281, 17753, 29, 97, 47, 3713, 4271, 726433, 434657, 272, 153, 17, 8449, 2245, 33507, 167089, 46069729, 901, 362, 123, 81767, 8569, 24852386, 265721, 8118481057, 190818387, 73124, 571, 89, 93127, 18061, 20721019, 4213133, 4974089647, 1031151241, 1234496016491, 89893
Offset: 1
Triangle begins:
[2]
[3, 1]
[7, 7, 8]
[11, 5, 71, 3]
[26, 9, 679, 77, 52]
[41, 13, 769, 281, 17753, 29]
[97, 47, 3713, 4271, 726433, 434657, 272]
[153, 17, 8449, 2245, 33507, 167089, 46069729, 901]
[362, 123, 81767, 8569, 24852386, 265721, 8118481057, 190818387, 73124]
[571, 89, 93127, 18061, 20721019, 4213133, 4974089647, 1031151241, 1234496016491, 89893]
...
- Laura Florescu, Daniela Morar, David Perkinson, Nicholas Salter and Tianyuan Xu, Sandpiles and Dominos, Electronic Journal of Combinatorics, Volume 22(1), 2015.
- David Perkinson, Lecture 15: Sandpiles, PCMI 2008 Undergraduate Summer School.
A256046
Main diagonal of A256045: order of all-2s configuration on the n X n sandpile grid graph.
Original entry on oeis.org
1, 8, 3, 52, 29, 272, 901, 73124, 89893
Offset: 2
- Laura Florescu, Daniela Morar, David Perkinson, Nicholas Salter, and Tianyuan Xu, Sandpiles and Dominos, Electronic Journal of Combinatorics, Volume 22(1), 2015.
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