A039800 Column 1 of Inverse partition triangle A038498.

1, -1, 0, 1, 0, 0, -1, -1, 0, 0, 1, 1, 2, 2, 1, 0, -1, -2, -3, -4, -5, -5, -5, -4, -3, -1, 2, 5, 8, 11, 14, 17, 18, 20, 20, 20, 18, 16, 11, 8, 0, -6, -15, -23, -34, -43, -54, -63, -73, -81, -88, -95, -98, -101, -99, -99, -89, -86, -70, -60, -38, -24, 8, 25, 62

Offset: 1

Author

Christian G. Bower, Feb 15 1999

Keywords

• sign

Crossrefs

Cf. A038498, A039801, A039802, A039803, A039804.

Programs

PARI

tp(n, k) = if (n<1, 0, if (k<1, 0, if (k == n, 1, if (k > n, 0, tp(n-1, k-1) + tp(n-k, k)))));
lista(nn) = {my(mtp = matrix(nn, nn, n, k, tp(n, k)), mtpi = mtp^(-1)); vector(nn, k, mtpi[k, 1]);}  \\ Michel Marcus, Feb 27 2021

Extensions

a(60) onward corrected by Sean A. Irvine, Feb 26 2021