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A161856
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Triangle read by rows in which row n lists the coefficients of the interpolating polynomial for its divisors of n.
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8
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1, 1, 1, 1, 2, 1, 1, 1, 1, 4, 1, 1, 0, 2, 1, 6, 1, 1, 1, 1, 1, 2, 4, 1, 1, 2, 0, 1, 10, 1, 1, 0, 0, 1, 1, 1, 12, 1, 1, 4, -2, 1, 2, 0, 8, 1, 1, 1, 1, 1, 1, 16, 1, 1, 0, 2, -4, 12, 1, 18, 1, 1, 1, -2, 7, -11, 1, 2, 2, 8, 1, 1, 8, -6, 1, 22, 1, 1, 0, 0, 1, -3, 8, -12, 1, 4, 16, 1, 1, 10, -8, 1, 2, 4, 8, 1, 1
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OFFSET
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1,5
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COMMENTS
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EDP(n,x) = SUM(a(A006218(n)-1+i)*A007318(x,i-1): 1<=i<=A000005(n)) is the interpolating polynomial for the divisors of n, see also A161700;
A000005(n) = length of n-th row, i.e. same length as n-th row in A027750;
sum of n-th row, n>1: A161857(n) = SUM(a(A006218(n-1)+i): 1<=i<=A000005(n));
a(A006218(n)+1) = 1.
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LINKS
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R. Zumkeller, Table of rows 1..1000, flattened
R. Zumkeller, Enumerations of Divisors
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EXAMPLE
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1; 1,1; 1,2; 1,1,1; 1,4; 1,1,0,2; 1,6; 1,1,1,1; 1,2,4; ... .
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CROSSREFS
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A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161701, A161702, A161703, A000127, A161704, A161706, A161707, A161708, A161710, A080856, A161711, A161712, A161713, A006261, A161715.
Sequence in context: A204929 A118210 A061399 * A122944 A107688 A060097
Adjacent sequences: A161853 A161854 A161855 * A161857 A161858 A161859
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KEYWORD
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sign,tabf
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AUTHOR
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Reinhard Zumkeller, Jun 20 2009
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STATUS
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approved
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