Triangle read by rows. T(n, k) = numerator([x^k] R(n, n, x)), where R(n, k, x) = Sum_{u=0..k} ( Sum_{j=0..u} x^j * binomial(u, j) * (j + 1)^n ) / (u + 1).

A362996

Triangle read by rows. T(n, k) = numerator([x^k] R(n, n, x)), where R(n, k, x) = Sum_{u=0..k} ( Sum_{j=0..u} x^j * binomial(u, j) * (j + 1)^n ) / (u + 1).

Terms

    a(0) =1a(1) =3a(2) =1a(3) =11a(4) =14a(5) =3a(6) =25a(7) =46a(8) =117a(9) =16a(10) =137a(11) =652a(12) =3699a(13) =1344a(14) =125a(15) =49a(16) =568a(17) =19197a(18) =41728a(19) =19375a(20) =1296a(21) =363a(22) =9872a(23) =621837a(24) =2397184a(25) =2084375a(26) =334368a(27) =16807a(28) =761a(29) =23664

External references