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Search: id:A114359
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| A114359 |
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Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^(-7). |
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1
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| 1, 843, 3827, 7252, 10684, 14116, 17548, 20980, 24412, 27844, 31276, 34708, 38140, 41572, 45004, 48436, 51868, 55300, 58732, 62164, 65596, 69028, 72460, 75892, 79324, 82756, 86188, 89620, 93052, 96484, 99916, 103348, 106780, 110212, 113644
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OFFSET
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1,2
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COMMENT
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More generally for any n>=floor((m+1)/2) the trace of M(n)^(-m) = binomial(2*m,m)*n-2^(2*m-1)+binomial(2*m-1,m)
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FORMULA
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a(1)=1 a(2)=843 a(3)=3827 then for n>=4 a(n)=3432n-6476
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CROSSREFS
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Sequence in context: A004969 A031707 A158403 this_sequence A038013 A078144 A071320
Adjacent sequences: A114356 A114357 A114358 this_sequence A114360 A114361 A114362
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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), Feb 09 2006
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