A036676 -id:A036676 - cp's OEIS frontend

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

N. J. A. Sloane

nonn

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)

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

A036678 Used by Polya in calculating A000598.

Original entry on oeis.org

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

N. J. A. Sloane

nonn

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)

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

cp's OEIS Frontend

A036677 Used by Polya in calculating A000598.

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