The Franel number a(n) = Sum_{k = 0..n} binomial(n,k)^3.

A000172

The Franel number a(n) = Sum_{k = 0..n} binomial(n,k)^3.

Terms

    a(0) =1a(1) =2a(2) =10a(3) =56a(4) =346a(5) =2252a(6) =15184a(7) =104960a(8) =739162a(9) =5280932a(10) =38165260a(11) =278415920a(12) =2046924400a(13) =15148345760a(14) =112738423360a(15) =843126957056

External references