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Search: id:A114361
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| A114361 |
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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)^(-9). |
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| 1, 5778, 40169, 87727, 136338, 184958, 233578, 282198, 330818, 379438, 428058, 476678, 525298, 573918, 622538, 671158, 719778, 768398, 817018, 865638, 914258, 962878, 1011498, 1060118, 1108738, 1157358, 1205978, 1254598, 1303218, 1351838
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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)=5778 a(3)=40169 a(4)=87727 then for n>=5 a(n)= 48620n-106762
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CROSSREFS
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Sequence in context: A031574 A004953 A004973 this_sequence A098476 A164649 A104284
Adjacent sequences: A114358 A114359 A114360 this_sequence A114362 A114363 A114364
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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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