A010754 Sum along upward diagonal of Pascal triangle to halfway point.

1, 1, 1, 1, 4, 5, 6, 7, 23, 30, 38, 47, 141, 188, 245, 313, 888, 1201, 1594, 2080, 5676, 7756, 10429, 13817, 36622, 50439, 68497, 91804, 237821, 329625, 451166, 610247, 1551727, 2161974, 2978230, 4058629, 10161409, 14220038, 19694622, 27007760