Recognize the series?

Number Theory Level pending
  • \(A_{m0} =1\) \(\forall\) \(m \ge 0\)
  • \(A_{0n} = 0\) for \(n>0\)
  • \(A_{mn}=A_{m-1,n} + A_{m-1,n-1}\) for \(m>0\) and \(n>0\)

\(A_{mn}\) is defined as above, evaluate \(A_{15,7}\).

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