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A121120 Related to enumeration of free catapolyoctagons (see Cyvin reference for precise definition). 0

%I #7 Jul 31 2019 11:37:57

%S 1,1,6,32,245,1926,16119,137475,1194854,10517058,93593287,840500847,

%T 7607643154,69331324533,635651786601,5858956542866,54260363841729,

%U 504655054951887,4711672806323948,44143665936691049,414896145593829741,3910842418588639201

%N Related to enumeration of free catapolyoctagons (see Cyvin reference for precise definition).

%D S. J. Cyvin, B. N. Cyvin, and J. Brunvoll. Enumeration of tree-like octagonal systems: catapolyoctagons, ACH Models in Chem. 134 (1997), 55-70, Tbale IV, P_r.

%F 8*a(n) = 2*A036758(n) -7*A036758(n-1)+4*A036758((n-1)/2)+2*A036758((n-1) +4*A036759(n)-2*A036759(n-1) +A121115(n)-7*A121115(n-1)+3*A121115((n-1)/2) +2*A121118(n) [Cyvin eq (46)] where A(.) is zero for fractional indices. - _R. J. Mathar_, Jul 31 2019

%K nonn

%O 1,3

%A _N. J. A. Sloane_, Aug 13, 2006

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Last modified August 19 05:14 EDT 2024. Contains 375284 sequences. (Running on oeis4.)