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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 (list; graph; refs; listen; history; text; internal format)
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} (2n-i) * (1 - mu(2n-i)^2).

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*n-i)*(1 - moebius(2*n-i)^2)); \\ Michel Marcus, Feb 11 2018

CROSSREFS

Cf. 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

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Last modified March 26 19:03 EDT 2019. Contains 321511 sequences. (Running on oeis4.)