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A212663
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Number of ways to represent n’ as x’ + y’, where x+y = n, x > 0, and n’, x’, y’ are the arithmetic derivatives of n, x, y.
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4
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0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1
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OFFSET
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1,39
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LINKS
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Paolo P. Lava, Table of n, a(n) for n = 1..5000
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MAPLE
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with(numtheory);
A212663:=proc(q)
local a, b, c, i, n, p, pfs, t;
for n from 1 to q do
pfs:=ifactors(n)[2]; a:=n*add(op(2, p)/op(1, p), p=pfs); t:=0;
for i from 1 to trunc(n/2) do
pfs:=ifactors(i)[2]; b:=i*add(op(2, p)/op(1, p), p=pfs);
pfs:=ifactors(n-i)[2]; c:=(n-i)*add(op(2, p)/op(1, p), p=pfs);
if a=b+c then t:=t+1; fi;
od;
print(t);
od; end:
A212663(1000);
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CROSSREFS
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Cf. A003415, A211223-A211225, A212662, A212664.
Sequence in context: A016380 A341354 A203945 * A341774 A015692 A016232
Adjacent sequences: A212660 A212661 A212662 * A212664 A212665 A212666
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KEYWORD
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nonn
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AUTHOR
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Paolo P. Lava, May 23 2012
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STATUS
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approved
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