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Search: id:A110540
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| A110540 |
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An invertible number triangle related to Lyndon words of trace 1. |
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+0
1
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| 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 3, 2, 1, 0, 3, 6, 5, 2, 1, 0, 5, 16, 16, 8, 3, 1, 0, 9, 39, 51, 30, 12, 3, 1, 0, 16, 104, 170, 125, 54, 16, 4, 1, 0, 28, 270, 585, 516, 259, 84, 21, 4, 1, 0, 51, 729, 2048, 2232, 1296, 480, 128, 27, 5, 1, 0, 93, 1960, 7280, 9750, 6665, 2792, 819
(list; table; graph; listen)
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OFFSET
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1,12
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COMMENT
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Columns include A000048,A046211,A054660,A054662.
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FORMULA
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Number triangle T(n, k)=if(k<=n, sum{d=1..n-k+1, if(mod(n-k+1, d)=0 AND gcd(d, k)=1, mu(d)*k^((n-k+1)/d), 0)/(k*(n-k+1)), 0)
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EXAMPLE
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Rows begin
1;
0,1;
0,1,1;
0,1,1,1;
0,2,3,2,1;
0,3,6,5,2,1;
0,5,16,16,8,3,1;
0,9,39,51,30,12,3,1;
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CROSSREFS
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Sequence in context: A017848 A108619 A091327 this_sequence A083475 A122402 A008406
Adjacent sequences: A110537 A110538 A110539 this_sequence A110541 A110542 A110543
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 25 2005
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