A039802 -id:A039802 - cp's OEIS frontend

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

Christian G. Bower, Feb 15 1999

sign

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

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

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

A039803 Column 4 of inverse partition triangle A038498.

Original entry on oeis.org

1, -1, -1, 0, 0, 2, 1, 1, 0, -1, -1, -2, -3, -3, -2, -2, 0, 1, 3, 4, 6, 7, 9, 8, 10, 9, 8, 6, 3, -2, -5, -10, -16, -20, -27, -32, -37, -40, -44, -43, -47, -42, -42, -34, -30, -18, -12, 7, 17, 39, 53, 76, 92, 118, 133, 158, 175, 196, 210, 226, 237, 244

Offset: 4

Christian G. Bower, Feb 15 1999

David A. Corneth, Table of n, a(n) for n = 4..2003

Cf. A038498, A039800, A039801, A039802, A039804.

first(n) = { my(m = matrix(n + 4, n + 4)); for(i = 2, n + 4, m[i, i] = 1; ); for(k = 2, n + 4, for(i = k + 1, n + 4, m[i, k] = m[i - (k-1), k] + m[i-1,k-1] ) ); m = matrix(n + 3, n + 3, i, j, m[i + 1, j + 1])^-1; vector(n, i, m[i + 3, 4]) } \\ David A. Corneth, Feb 27 2021

a(63) onward corrected by Sean A. Irvine, Feb 27 2021

cp's OEIS Frontend

A039800 Column 1 of Inverse partition triangle A038498.

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