2,3,2,15,44,245,?

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1 Answer

Using square brackets to denote subscript the pattern is:

a[n]=(n-1)a[n-1]+(-1)ⁿ(n-1)² for n>0; a₁=2

a₂=a₁+1=3

a₃=2a₂-4=6-4=2

a₄=3a₃+9=6+9=15

a₅=4a⁴-16=60-16=44

a₆=5a₅+25=220+25=245

a₇=6a₆-49=1470-49=1421

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