(not)OEIS 1

Level pending

define a(n): 1, 4, 24, 236, 3010. What's next?

This sequence combines 3 patterns. \(a(n)=a_1(n)-a_2(n)+a_3(n)\)

All 3 patterns are not very hard...

It was so hard to find a pattern that OEIS doesn't have...

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