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Search: id:A094201
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| A094201 |
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a(n)=4*n^5+10*n^4+13*n^3+11*n^2+5*n+1. |
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+0
3
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| 1, 44, 447, 2248, 7685, 20676, 47299, 96272, 179433, 312220, 514151, 809304, 1226797, 1801268, 2573355, 3590176, 4905809, 6581772, 8687503, 11300840, 14508501, 18406564, 23100947, 28707888, 35354425, 43178876, 52331319
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Let x(n)=(1/2)*(-(2*n+1)+sqrt((2*n+1)^2+4)) and f(k)=(-1)*sum(i=1,k,sum(j=1,i,(-1)^floor(j*x(n)))), then a(n)=Max{ f(k) : 0<k<A094200(n) }
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REFERENCES
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B. Cloitre, On parity properties of certain Beatty sequences, in preparation 2004
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PROGRAM
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(PARI) a(n)=4*n^5+10*n^4+13*n^3+11*n^2+5*n+1
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CROSSREFS
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Cf. A094200, A085005.
Adjacent sequences: A094198 A094199 A094200 this_sequence A094202 A094203 A094204
Sequence in context: A094794 A024304 A002613 this_sequence A120812 A133349 A010838
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 25 2004
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 09 2006
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