A036678 Used by Polya in calculating A000598.

0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 37, 154, 558, 1830, 5581, 16077, 44251, 117308, 301330, 753458, 1840568, 4405344, 10355493, 23953832, 54614151, 122903818, 273320540, 601273377, 1309641376, 2826528077, 6048868456, 12843409063, 27071247989

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

Formula

G.f.: x * q(x) * (2*p(x)*p(x^2) + (q(x)^2-q(x^2))*m(x) + (p(x)^2-p(x^2))*q(x)) / 2 where m(x) is the g.f. of A036677, p(x) is the g.f. of A036676, and q(x) is the g.f. of A000621 with offset 0 [from Polya]. - Sean A. Irvine, Nov 21 2020