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A294097 Number of partitions of 2n into two parts such that both parts are either squarefree or nonsquarefree. 3
1, 2, 2, 4, 2, 5, 3, 7, 5, 8, 6, 10, 6, 10, 6, 12, 9, 17, 8, 16, 9, 18, 9, 19, 10, 21, 14, 20, 15, 22, 14, 23, 14, 27, 17, 33, 18, 30, 16, 30, 16, 33, 17, 35, 23, 34, 22, 36, 22, 39, 24, 40, 25, 49, 24, 44, 25, 46, 25, 47, 25, 50, 32, 46, 31, 48, 30, 49, 30 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..69.

Index entries for sequences related to partitions

FORMULA

a(n) = Sum_{k=1..n} [A008966(i) = A008966(2n-i)], where [] is the Iverson bracket.

MATHEMATICA

Table[Sum[KroneckerDelta[MoebiusMu[k]^2, MoebiusMu[2 n - k]^2], {k, n}], {n, 80}]

CROSSREFS

Cf. A008966, A294098.

Sequence in context: A300837 A321443 A125296 * A233520 A243271 A232245

Adjacent sequences:  A294094 A294095 A294096 * A294098 A294099 A294100

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 22 2017

STATUS

approved

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Last modified October 18 00:01 EDT 2019. Contains 328135 sequences. (Running on oeis4.)