A125862 Column 2 of table A125860; also equals row sums of matrix power A097712^2.
1, 3, 12, 69, 612, 8853, 217041, 9245253, 695682342, 93580638024, 22713677612832, 10025101876435413, 8100572528598910191, 12054728928174188426943, 33214476295395054879355617, 170255688895444623691322464599
Offset: 0
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