A036677 Used by Polya in calculating A000598.

0, 0, 0, 0, 0, 0, 1, 5, 19, 63, 184, 503, 1300, 3229, 7748, 18106, 41327, 92521, 203601, 441466, 944618, 1997726, 4180405, 8665024, 17805427, 36299704, 73468100, 147704332, 295122569, 586304222, 1158582080, 2278084748, 4458522727

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• G. Polya, Algebraische Berechnung der Anzahl der Isomeren einiger organischer Verbindungen, Zeit. f. Kristall., 93 (1936), 415-443; q^{II}(x) on p. 441.
• G. Polya, Algebraische Berechnung der Anzahl der Isomeren einiger organischer Verbindungen, Zeit. f. Kristall., 93 (1936), 415-443; q^{II}(x) on p. 441. (Annotated scanned copy)

Formula

G.f.: x * q(x) * (2*q(x)*p(x^2) + (q(x)^2-q(x^2)) * p(x)) / 2 where p(x) is the g.f. for A036676 and q(x) is the g.f. for A000621 with offset 0 [from Polya]. - Sean A. Irvine, Nov 21 2020