A symmetrical triangular sequence:t(n,m)=n!*(StirlingS1[n, m] + StirlingS1[n, n - m] - (StirlingS1[n, 0] + StirlingS1[n, n]) + 1) - n! + 1.
A174861
A symmetrical triangular sequence:t(n,m)=n!*(StirlingS1[n, m] + StirlingS1[n, n - m] - (StirlingS1[n, 0] + StirlingS1[n, n]) + 1) - n! + 1.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-5a(5) =1a(6) =1a(7) =-11a(8) =-11a(9) =1a(10) =1a(11) =-311a(12) =505a(13) =-311a(14) =1a(15) =1a(16) =1561a(17) =-1919a(18) =-1919a(19) =1561a(20) =1a(21) =1a(22) =-97919a(23) =257761a(24) =-324719a(25) =257761a(26) =-97919a(27) =1a(28) =1a(29) =3517921
External references
- oeis: A174861