Grounded partitions at level 2 of type A_1^(1) are in size- and length-preserving bijection with odd overpartitions (ground b) and with partitions whose even parts are distinct (ground a).
Eulerian series as modular forms
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$A_1^{(1)}$-Grounded partitions at levels $1$ and $2$, Part I: bijections
Grounded partitions at level 2 of type A_1^(1) are in size- and length-preserving bijection with odd overpartitions (ground b) and with partitions whose even parts are distinct (ground a).