Square array T(n, k) read by ascending antidiagonals, T(n, k) = Sum_{j=0..n} (-1)^(n + j)*(6 - n + j)^k * binomial(12, n - j) if k > 0 and (-1)^n otherwise. T(n, k) for 0 <= n, k <= 11.

A347211

Square array T(n, k) read by ascending antidiagonals, T(n, k) = Sum_{j=0..n} (-1)^(n + j)*(6 - n + j)^k * binomial(12, n - j) if k > 0 and (-1)^n otherwise. T(n, k) for 0 <= n, k <= 11.

Terms

    a(0) =1a(1) =-1a(2) =6a(3) =1a(4) =-54a(5) =36a(6) =-1a(7) =210a(8) =-264a(9) =216a(10) =1a(11) =-450a(12) =792a(13) =-1284a(14) =1296a(15) =-1a(16) =540a(17) =-1188a(18) =2940a(19) =-6204a(20) =7776a(21) =1a(22) =-252a(23) =792a(24) =-3000a(25) =10692a(26) =-29724a(27) =46656a(28) =-1a(29) =-252

External references