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Search: id:A016742
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| 0, 4, 16, 36, 64, 100, 144, 196, 256, 324, 400, 484, 576, 676, 784, 900, 1024, 1156, 1296, 1444, 1600, 1764, 1936, 2116, 2304, 2500, 2704, 2916, 3136, 3364, 3600, 3844, 4096, 4356, 4624, 4900, 5184, 5476, 5776, 6084, 6400, 6724, 7056, 7396, 7744, 8100, 8464
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Number of edges in the complete bipartite graph of order 5n, K_{n,4n} - Roberto E. Martinez II (remartin(AT)fas.harvard.edu), Jan 07 2002
4 times the squares. - Omar E. Pol (info(AT)polprimos.com), May 21 2008
Sequence arises from reading the line from 0, in the direction 0, 16,... and the line from 4, in the direction 4, 36,..., in the square spiral whose vertices are the squares A000290. - Omar E. Pol (info(AT)polprimos.com), May 24 2008
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REFERENCES
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R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 2nd ed., 1994, p. 99.
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FORMULA
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a(n) = A000290(n)*4 = A001105(n)*2. - Omar E. Pol (info(AT)polprimos.com), May 21 2008
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EXAMPLE
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a(46)=8464
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MAPLE
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a:=n->sum(n, j=1..n): seq(a(2*n), n=0..46); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 30 2007
with(finance):seq(add(futurevalue(n, 1, 2), k=1..n), n=0..45); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 20 2008
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CROSSREFS
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Cf. A016754, A007742, A033991.
Cf. A000290, A001105.
Cf. A000290, A001539, A016754, A016802, A016814, A016826, A016838.
Sequence in context: A044065 A063540 A055808 this_sequence A121317 A063755 A085040
Adjacent sequences: A016739 A016740 A016741 this_sequence A016743 A016744 A016745
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from Sabir Abdus-Samee (sabdulsamee(AT)prepaidlegal.com), Mar 13 2006
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