a(n) = denominator(p(n, x)) / (n!*denominator(bernoulli(n, x))), where p(n, x) = Sum_{k=0..n} E2(n, k)*binomial(x + k, 2*n) / Product_{j=1..n} (j - x) and E2(n, k) are the second-order Eulerian numbers A201637.

A341109

a(n) = denominator(p(n, x)) / (n!*denominator(bernoulli(n, x))), where p(n, x) = Sum_{k=0..n} E2(n, k)*binomial(x + k, 2*n) / Product_{j=1..n} (j - x) and E2(n, k) are the second-order Eulerian numbers A201637.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =16a(6) =96a(7) =192a(8) =1152a(9) =768a(10) =1536a(11) =3072a(12) =18432a(13) =36864a(14) =221184a(15) =147456a(16) =884736a(17) =1769472a(18) =10616832a(19) =21233664a(20) =637009920a(21) =424673280a(22) =2548039680a(23) =5096079360a(24) =152882380800a(25) =61152952320a(26) =366917713920a(27) =81537269760a(28) =163074539520a(29) =326149079040

External references