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Search: id:A058919
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| A058919 |
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n^4/2 - n^3 + 3n^2/2 - n + 1. |
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+0
3
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| 1, 1, 5, 25, 85, 221, 481, 925, 1625, 2665, 4141, 6161, 8845, 12325, 16745, 22261, 29041, 37265, 47125, 58825, 72581, 88621, 107185, 128525, 152905, 180601, 211901, 247105, 286525, 330485, 379321, 433381, 493025, 558625, 630565, 709241
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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On an n X (n - 1)(n - 2)/2 X n(n - 1)/2 cuboid with n >= 5, the two points at greatest surface distance from a corner are the opposite corner and the point 1 in from each of the two edges on a smallest face which meet at the opposite corner; this greatest surface distance is sqrt(a(n)).
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,500
Source
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PROGRAM
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(PARI) { for (n = 0, 500, write("b058919.txt", n, " ", (n^4 + 3*n^2)/2 - n^3 - n + 1); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 23 2009]
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CROSSREFS
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For n >= 4 the sequence is a subsequence of A007692.
Sequence in context: A131537 A147122 A051229 this_sequence A018212 A147274 A147034
Adjacent sequences: A058916 A058917 A058918 this_sequence A058920 A058921 A058922
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jan 11 2001
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