A125863 Column 3 of table A125860; also equals row sums of matrix power A097712^3.
1, 4, 22, 178, 2251, 46663, 1640572, 100152049, 10794383587, 2079805452133, 723492192295786, 458149292979837523, 531871667833026397222, 1138955362720160687114704, 4523369812874327770490887837
Offset: 0
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