Triangle of "Harmonic Coefficients" T(n,k), read by rows: (Sum_{i=1..n} T(n,i) * k^i) * k! / ((n+k)! * n!) = (Sum_{i=1..k} (1/i-1/(i+n)) = n * (Sum_{i=1..k} 1/(i*(i+n)))).
A027858
Triangle of "Harmonic Coefficients" T(n,k), read by rows: (Sum_{i=1..n} T(n,i) * k^i) * k! / ((n+k)! * n!) = (Sum_{i=1..k} (1/i-1/(i+n)) = n * (Sum_{i=1..k} 1/(i*(i+n)))).
Terms
- a(0) =1a(1) =5a(2) =3a(3) =49a(4) =48a(5) =11a(6) =820a(7) =1030a(8) =404a(9) =50a(10) =21076a(11) =31050a(12) =16090a(13) =3510a(14) =274a(15) =773136a(16) =1277136a(17) =792540a(18) =233100a(19) =32724a(20) =1764a(21) =38402064a(22) =69261696a(23) =48943692a(24) =17498880a(25) =3361176a(26) =330624a(27) =13068a(28) =2483133696a(29) =4805827776
External references
- oeis: A027858