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Laura Florescu, Daniela Morar, David Perkinson, Nicholas Salter, Tianyuan Xu, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i1p66">Sandpiles and Dominos</a>, 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]
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Laura Florescu, Daniela Morar, David Perkinson, Nicholas Salter, Tianyuan Xu, Sandpiles and Dominos,, <a href="/A256043/a256043.pdf">Illustration of recurrent identity element for the sandpile grid graph</a> [Figure 1 from Sandpiles and Dominos paper] [Le Borgne et al., 2002, show a very similar figure - see Fig. 7.]
a(7) added by Scott R. Shannon, Apr 23 2019
A(7) from David Perkinson, <a href="http://people.reed.edu/~davidp/pcmi/lectures/15combined.pdf">Lecture 15: Sandpiles</a>, PCMI 2008 Undergraduate Summer School. Gives a(7).
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Le Borgne, Yvan, and Dominique Rossin, <a href="https://doi.org/10.1016/S0012-365X(02)00347-3">On the identity of the sandpile group</a>, Discrete mathematics 256.3 (2002): 775-790.
Le Borgne, Yvan, and Dominique Rossin, <a href="https://doi.org/10.1016/S0012-365X(02)00347-3">On the identity of the sandpile group</a>, Discrete mathematics 256.3 (2002): 775-790.
Le Borgne, Yvan, and Dominique Rossin, <a href="https://doi.org/10.1016/S0012-365X(02)00347-3">On the identity of the sandpile group</a>, Discrete mathematics 256.3 (2002): 775-790.
Le Borgne, Yvan, and Dominique Rossin, <a href="https://doi.org/10.1016/S0012-365X(02)00347-3">On the identity of the sandpile group</a>, Discrete mathematics 256.3 (2002): 775-790.
A(7) from David Perkinson, <a href="http://people.reed.edu/~davidp/pcmi/lectures/15combined.pdf">Lecture 15: Sandpiles</a>, PCMI 2008 Undergraduate Summer School.