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A305803
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Dirichlet inverse of A078898.
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3
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1, -1, -1, -1, -1, -1, -1, -1, -1, -3, -1, 1, -1, -5, -1, -1, -1, -2, -1, 1, -2, -9, -1, 3, -1, -11, -2, 1, -1, 1, -1, -1, -4, -15, -1, 5, -1, -17, -5, 5, -1, 1, -1, 1, -1, -21, -1, 5, -1, -14, -7, 1, -1, -4, -2, 7, -8, -27, -1, 17, -1, -29, -2, -1, -3, 1, -1, 1, -10, -11, -1, 8, -1, -35, -6, 1, -1, 1, -1, 9, -5, -39, -1, 26, -4, -41, -13, 11, -1, 6, -2, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,10
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LINKS
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FORMULA
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a(1) = 1; for n > 1, a(n) = -Sum_{d|n, d<n} A078898(n/d)*a(d).
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PROG
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(PARI)
up_to = 65537;
ordinal_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), pt); for(i=1, length(invec), if(mapisdefined(om, invec[i]), pt = mapget(om, invec[i]), pt = 0); outvec[i] = (1+pt); mapput(om, invec[i], (1+pt))); outvec; };
A020639(n) = if(n>1, if(n>n=factor(n, 0)[1, 1], n, factor(n)[1, 1]), 1); \\ From A020639
v078898 = ordinal_transform(vector(up_to, n, A020639(n)));
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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