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A036678 Used by Polya in calculating A000598. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 24 21:50 EDT 2021. Contains 345433 sequences. (Running on oeis4.)