

A294245


Sum of the larger parts of the partitions of 2n into two parts with larger part nonsquarefree.


1



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

1,3


LINKS

Table of n, a(n) for n=1..52.
Index entries for sequences related to partitions


FORMULA

a(n) = Sum_{i=1..n} (2*ni) * (1  mu(2*ni)^2), where mu is the Möbius function (A008683).


MATHEMATICA

Table[Sum[(2 n  k) (1  MoebiusMu[2 n  k]^2), {k, n}], {n, 80}]


PROG

(PARI) a(n) = sum(i=1, n, (2*ni)*(1  moebius(2*ni)^2)); \\ Michel Marcus, Feb 11 2018


CROSSREFS

Cf. A008683, A008966, A294246.
Sequence in context: A051460 A191972 A101407 * A117785 A117787 A113727
Adjacent sequences: A294242 A294243 A294244 * A294246 A294247 A294248


KEYWORD

nonn,easy


AUTHOR

Wesley Ivan Hurt, Oct 25 2017


STATUS

approved



