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A180009
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Triangle T(n,k) read by rows. T(n,1) = mu(n), T(n,2)=T(n,k-1)-T(n-1,k), k>2: T(n,k)= (sum from i = 1 to k-1 of T(n-i,k-1)) - (sum from i = 1 to k-1 of T(n-i,k)).
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1
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1, -1, -1, -1, 0, -1, 0, 0, 0, -1, -1, -1, 1, 0, -1, 1, 2, -2, 1, 0, -1, -1, -3, 2, -1, 1, 0, -1, 0, 3, -1, 1, -1, 1, 0, -1, 0, -3, -1, -2, 2, -1, 1, 0, -1, 1, 4, 2, 2, -3, 2, -1, 1, 0, -1, -1, -5, 0, -1, 1, -2, 2, -1, 1, 0, -1, 0, 5, -3, 2, 1, 0, -2, 2, -1, 1, 0, -1, -1, -6, 3, -4, 0, 0, 1, -2
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,17
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LINKS
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Table of n, a(n) for n=1..86.
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EXAMPLE
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Table begins:
1,
-1,-1,
-1,0,-1,
0,0,0,-1,
-1,-1,1,0,-1,
1,2,-2,1,0,-1,
-1,-3,2,-1,1,0,-1,
0,3,-1,1,-1,1,0,-1,
0,-3,-1,-2,2,-1,1,0,-1,
1,4,2,2,-3,2,-1,1,0,-1,
-1,-5,0,-1,1,-2,2,-1,1,0,-1,
0,5,-3,2,1,0,-2,2,-1,1,0,-1,
-1,-6,3,-4,0,0,1,-2,2,-1,1,0,-1,
1,7,-1,3,0,2,-1,1,-2,2,-1,1,0,-1,
1,-6,-1,-2,-2,-3,1,0,1,-2,2,-1,1,0,-1,
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PROG
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(Other) (Excel cell formula European dot comma style) =if(column()=1; 1; if(row()>=column(); if(column()=2; sum(indirect(address(row(); column()-1; 4)))-sum(indirect(address(row()-1; column(); 4))); sum(indirect(address(row()-column()+1; column()-1; 4)&":"&address(row()-1; column()-1; 4); 4))-sum(indirect(address(row()-column()+1; column(); 4)&":"&address(row()-1; column(); 4); 4))); 0))
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CROSSREFS
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Cf. A180010, A008683.
Sequence in context: A055800 A060572 A163543 * A180010 A003406 A226289
Adjacent sequences: A180006 A180007 A180008 * A180010 A180011 A180012
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KEYWORD
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sign,tabl
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AUTHOR
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Mats Granvik, Aug 06 2010
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STATUS
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approved
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