Triangle of coefficients c(n,i), 1<=i<=n, such that for each n>=2, c(n,i) are setwise coprime; and for all primes p>2n-1, the sum of (-1)^i*c(n,i)*binomial(i*p,p) is divisible by p^(2n-1).

A268512

Triangle of coefficients c(n,i), 1<=i<=n, such that for each n>=2, c(n,i) are setwise coprime; and for all primes p>2n-1, the sum of (-1)^i*c(n,i)*binomial(i*p,p) is divisible by p^(2n-1).

Terms

    a(0) =1a(1) =2a(2) =1a(3) =12a(4) =9a(5) =2a(6) =60a(7) =54a(8) =20a(9) =3a(10) =840a(11) =840a(12) =400a(13) =105a(14) =12a(15) =2520a(16) =2700a(17) =1500a(18) =525a(19) =108a(20) =10a(21) =27720a(22) =31185a(23) =19250a(24) =8085a(25) =2268a(26) =385a(27) =30a(28) =360360a(29) =420420

External references