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A180051
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Triangle T(n,k) read by rows. Matrix inverse of A180050.
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1
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1, -1, 1, 0, -1, 1, -1, -1, 3, 1, -1, -1, 6, 3, 1, -2, -1, 15, 7, 3, 1, -1, -1, 31, 15, 7, 3, 1, -2, -1, 72, 34, 16, 7, 3, 1, -2, -1, 157, 73, 34, 16, 7, 3, 1, -2, -1, 347, 161, 75, 35, 16, 7, 3, 1, -1, -1, 751, 349, 162, 75, 35, 16, 7, 3, 1, -2, -1, 1645, 763, 354, 164, 76, 35, 16, 7
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OFFSET
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1,9
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COMMENTS
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At n>3, k=1 T(n,k)=A002321(n-1). It could perhaps be said that the Mertens function is an invariant under the recurrence in A180050 and matrix inversion.
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LINKS
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EXAMPLE
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Table begins:
1,
-1,1,
0,-1,1,
-1,-1,3,1,
-1,-1,6,3,1,
-2,-1,15,7,3,1,
-1,-1,31,15,7,3,1,
-2,-1,72,34,16,7,3,1,
-2,-1,157,73,34,16,7,3,1,
-2,-1,347,161,75,35,16,7,3,1,
-1,-1,751,349,162,75,35,16,7,3,1,
-2,-1,1645,763,354,164,76,35,16,7,3,1,
-2,-1,3553,1646,763,354,164,76,35,16,7,3,1,
-3,-1,7720,3576,1657,768,356,165,76,35,16,7,3,1,
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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