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

0,3

Comments

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

Links

Table of n, a(n) for n=0..19.

Formula

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

Prog

(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]))}

Crossrefs

Cf. A008459, A002190, A101980, A101981.

Sequence in context: A299047 A296256 A351510 * A041947 A327081 A201970

Adjacent sequences: A101979 A101980 A101981 * A101983 A101984 A101985

Keyword

sign

Author

Paul D. Hanna, Dec 23 2004

Status

approved