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A294245
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Sum of the larger parts of the partitions of 2n into two parts with larger part nonsquarefree.
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1
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0, 0, 4, 4, 17, 17, 29, 29, 37, 46, 66, 66, 103, 130, 158, 158, 174, 174, 192, 192, 212, 212, 301, 301, 374, 399, 451, 478, 506, 506, 566, 629, 661, 661, 729, 729, 765, 840, 916, 916, 1037, 1037, 1121, 1121, 1165, 1210, 1302, 1302, 1350, 1498, 1548, 1548
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..52.
Index entries for sequences related to partitions
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FORMULA
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a(n) = Sum_{i=1..n} (2n-i) * (1 - mu(2n-i)^2), where mu is the Möbius function (A008683).
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MATHEMATICA
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Table[Sum[(2 n - k) (1 - MoebiusMu[2 n - k]^2), {k, n}], {n, 80}]
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PROG
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(PARI) a(n) = sum(i=1, n, (2*n-i)*(1 - moebius(2*n-i)^2)); \\ Michel Marcus, Feb 11 2018
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CROSSREFS
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Cf. A008683, A008966, A294246.
Sequence in context: A051460 A191972 A101407 * A117785 A117787 A113727
Adjacent sequences: A294242 A294243 A294244 * A294246 A294247 A294248
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KEYWORD
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nonn,easy
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AUTHOR
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Wesley Ivan Hurt, Oct 25 2017
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STATUS
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approved
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