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Search: id:A049503
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| 1, 1, 4, 49, 1764, 184041, 55294096, 47675849104, 117727187246656, 831443906113411600, 16779127803917965290000, 966945347924006310543140625, 159045186822042363450404006250000, 74638947576233124529271587010756250000, 99910846988474589225795290311922220324000000
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Expansion of generating function A_{QT}^(1)(4n).
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REFERENCES
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D. M. Bressoud, Proofs and Confirmations, Camb. Univ. Press, 1999; Eq. (6.16), p. 199.
M. Ciucu, The equivalence between enumerating cyclically symmetric, self-complementary and totally symmetric, self-complementary plane partitions, J. Combin. Theory Ser. A 86 (1999), 382-389.
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LINKS
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G. Kuperberg, Symmetry classes of alternating-sign matrices under one roof, arXiv math.CO/0008184 [Th. 5]
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FORMULA
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a(n) = 2^n * det U(n), where U(n) is the n X n matrix with entry (i, j) equal to binomial(i+j, 2*i-j)/2+binomial(i+j, 2*i-j-1). [Ciucu]
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CROSSREFS
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Sequence in context: A121275 A029991 A129419 this_sequence A159593 A067717 A067714
Adjacent sequences: A049500 A049501 A049502 this_sequence A049504 A049505 A049506
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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