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

0,8

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^{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

Crossrefs

Sequence in context: A141397 A305779 A143131 * A003296 A053545 A049612

Adjacent sequences: A036674 A036675 A036676 * A036678 A036679 A036680

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved