A101982 Row sums of triangle A101980, which is the matrix logarithm of A008459 (squared entries of Pascal's triangle).

0, 1, 3, 4, 11, -44, 942, -23561, 806955, -35956868, 2023718198, -140435834681, 11782131588086, -1175694615277233, 137629159046661089, -18679508311308283526, 2909710453923000618155, -515605748075502971981108, 103130355820655917046896638, -23123715029010809457898920545

Offset: 0

Author

Paul D. Hanna, Dec 23 2004

Keywords

• sign

Comments

A101981 is essentially a signed offset version of A002190 and is related to Bessel functions.

Crossrefs

Cf. A008459, A002190, A101980, A101981.

Programs

PARI

{a(n)=sum(k=0,n,sum(m=1,n,(-1)^(m-1)* (matrix(n+1,n+1,i,j,if(i>j,binomial(i-1,j-1)^2))^m/m)[n+1,k+1]))}

Formula

a(n) = Sum_{k=0..n} A101981(n-k)*C(n, k)^2.