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A051255 Number of cyclically symmetric transpose complement plane partitions. 9

%I

%S 1,2,11,170,7429,920460,323801820,323674802088,919856004546820,

%T 7434724817843114428,170943292930264547814443,

%U 11183057455425265737399150652,2081853548182272792243789109645876

%N Number of cyclically symmetric transpose complement plane partitions.

%D D. M. Bressoud, Proofs and Confirmations, Camb. Univ. Press, 1999; Eq. (6.15), p. 199 (corrected).

%H M. T. Batchelor, J. de Gier and B. Nienhuis, <a href="http://arXiv.org/abs/cond-mat/0101385">The quantum symmetric XXZ chain at Delta=-1/2, alternating sign matrices and plane partitions, arXiv cond-mat/0101385</a> (see N_8(2n))

%H N. T. Cameron, <a href="http://www.princeton.edu/~wmassey/NAM03/cameron.pdf">Random walks, trees and extensions of Riordan group techniques</a>

%H I. Gessel and G. Xin, <a href="http://arXiv.org/abs/math.CO/0505217">The generating function of ternary trees and continued fractions</a>

%p A051255 := proc(n) local i; mul((3*i+1)*(6*i)!*(2*i)!/((4*i)!*(4*i+1)!),i=0..n-1); end;

%Y Cf. A049504.

%K nonn,nice,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org)

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Last modified June 18 23:41 EDT 2013. Contains 226356 sequences.