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A294242 Number of partitions of 2n into two parts with the larger part nonsquarefree. 1
0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 9, 9, 10, 10, 11, 11, 11, 11, 12, 13, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 22, 22, 23, 23, 25, 25, 25, 25, 26, 27, 27, 27, 28 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..71.

Index entries for sequences related to partitions

FORMULA

a(n) = Sum_{i=1..n} (1 - mu(2n-i)^2).

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A008966, A057627.

Sequence in context: A108356 A239499 A241139 * A241092 A055656 A078571

Adjacent sequences:  A294239 A294240 A294241 * A294243 A294244 A294245

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 25 2017

STATUS

approved

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Last modified March 23 02:39 EDT 2019. Contains 321422 sequences. (Running on oeis4.)