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

0,10

Links

Table of n, a(n) for n=0..32.

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

Crossrefs

Sequence in context: A202659 A202119 A201083 * A085720 A201962 A269257

Adjacent sequences: A036675 A036676 A036677 * A036679 A036680 A036681

Keyword

nonn

Author

N. J. A. Sloane

Status

approved