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Search: id:A059860
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| 1, 243, 7776, 100000, 759375, 4084101, 17210368, 60466176, 184528125, 503284375, 1252332576, 2887174368, 6240321451, 12762815625, 24883200000, 46525874176, 83841135993, 146211169851, 247609900000, 408410100000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Number of 5-dimensional cage assemblies.
See Chap. 61, "Hyperspace Prisons", of C. Pickover's book "Wonders of Numbers" for full explanation of "cage numbers."
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REFERENCES
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C. Pickover, Wonders of Numbers, Oxford University Press, 2001, p. 325.
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LINKS
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C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review
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FORMULA
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L(n) = ((n^m)(n + 1)^m)/(2^m) where m is the dimension.
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MAPLE
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for n from 1 to 100 do printf(`%d, `, ((n^5)*(n + 1)^5)/(2^5) ) od:
with (combinat):seq(mul(stirling2(n+1, n), k=1..5), n=1..21); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 14 2007
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MATHEMATICA
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m = 5; Table[ ( (n^m)(n + 1)^m )/(2^m), {n, 1, 26} ]
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CROSSREFS
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Cf. A059827.
Sequence in context: A133550 A029700 A016769 this_sequence A016841 A128833 A016889
Adjacent sequences: A059857 A059858 A059859 this_sequence A059861 A059862 A059863
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KEYWORD
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easy,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Feb 28 2001
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 28 2001
Better definition from Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 23 2006
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