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Search: id:A114358
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| A114358 |
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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)^(-6). |
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1
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| 1, 322, 1186, 2110, 3034, 3958, 4882, 5806, 6730, 7654, 8578, 9502, 10426, 11350, 12274, 13198, 14122, 15046, 15970, 16894, 17818, 18742, 19666, 20590, 21514, 22438, 23362, 24286, 25210, 26134, 27058, 27982, 28906, 29830, 30754, 31678
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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)=322 then a(n)=924n-1586
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CROSSREFS
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Sequence in context: A054034 A004947 A004967 this_sequence A033524 A082947 A082948
Adjacent sequences: A114355 A114356 A114357 this_sequence A114359 A114360 A114361
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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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