A103366 Second column of triangle A103364, which equals the matrix inverse of the Narayana triangle (A001263).

1, -3, 12, -70, 585, -6741, 103068, -2023092, 49615695, -1487006785, 53477384268, -2272859942574, 112699083156751, -6447858833644515, 421601806346674320, -31242589674606301224, 2604618355967848204587, -242686626407684239621113, 25124942798118355122058980

Offset

2,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 2..200

Formula

a(n) ~ (-1)^n * 2^(2*n-5) * n! * (n-1)! / (BesselJ(2, BesselJZero(1, 1)) * BesselJZero(1, 1)^(2*n-4)), where BesselJZero(1, 1) = A115369. - Vaclav Kotesovec, Jul 11 2025

Prog

(PARI) a(n)=if(n<2, 0, (matrix(n, n, m, j, binomial(m-1, j-1)*binomial(m, j-1)/j)^-1)[n, 2])

Crossrefs

Cf. A001263, A103364, A103365, A103367, A115369.

Sequence in context: A330493 A386229 A112320 * A335643 A277457 A367117

Adjacent sequences: A103363 A103364 A103365 * A103367 A103368 A103369

Keyword

sign

Author

Paul D. Hanna, Feb 02 2005

Status

approved