A029847 Triangle of coefficients of polynomials arising in connection with enumeration of intransitive trees by number of nodes and number of right nodes.

1, 1, 1, 1, 1, 5, 1, 1, 17, 17, 1, 1, 49, 146, 49, 1, 1, 129, 922, 922, 129, 1, 1, 321, 4887, 11234, 4887, 321, 1, 1, 769, 23151, 106439, 106439, 23151, 769, 1, 1, 1793, 101488, 856031, 1679494, 856031, 101488, 1793, 1, 1, 4097, 420512, 6137832, 21442606