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Search: id:A114360
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| A114360 |
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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)^(-8). |
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| 1, 2207, 12389, 25147, 38017, 50887, 63757, 76627, 89497, 102367, 115237, 128107, 140977, 153847, 166717, 179587, 192457, 205327, 218197, 231067, 243937, 256807, 269677, 282547, 295417, 308287, 321157, 334027, 346897, 359767, 372637, 385507
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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)=2207 a(3)=12389 then for n>=4 a(n)=12870n-26333
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CROSSREFS
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Sequence in context: A004951 A004971 A037210 this_sequence A023319 A043659 A031772
Adjacent sequences: A114357 A114358 A114359 this_sequence A114361 A114362 A114363
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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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