Triangle read by rows: T(n,k) is the numerator of A(n,k), such that A(n,k) satisfies the identity for sums of odd powers: Sum_{k=1..p} k^(2n-1) = 1/(2*n) * Sum_{k=0..n-1} A(n,k) * (p^2+p)^(n-k), for all integers p >= 1.
A385567
Triangle read by rows: T(n,k) is the numerator of A(n,k), such that A(n,k) satisfies the identity for sums of odd powers: Sum_{k=1..p} k^(2n-1) = 1/(2*n) * Sum_{k=0..n-1} A(n,k) * (p^2+p)^(n-k), for all integers p >= 1.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =0a(5) =-1a(6) =1a(7) =-1a(8) =0a(9) =1a(10) =1a(11) =-4a(12) =2a(13) =0a(14) =-1a(15) =1a(16) =-5a(17) =3a(18) =-3a(19) =0a(20) =5a(21) =1a(22) =-4a(23) =17a(24) =-10a(25) =5a(26) =0a(27) =-691a(28) =1a(29) =-35
External references
- oeis: A385567