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A294236 Sum of the smaller parts of the partitions of n into two parts with larger part nonsquarefree. 1
0, 0, 0, 0, 1, 2, 3, 4, 1, 3, 5, 7, 10, 13, 16, 19, 14, 17, 11, 14, 18, 22, 26, 30, 22, 27, 32, 38, 45, 52, 59, 66, 57, 64, 71, 78, 67, 74, 81, 88, 75, 82, 89, 96, 104, 113, 122, 131, 116, 126, 111, 121, 132, 143, 127, 138, 121, 132, 143, 154, 166, 178, 190 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..63.

Index entries for sequences related to partitions

FORMULA

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

MATHEMATICA

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

CROSSREFS

Cf. A008683, A008966, A294237.

Sequence in context: A138223 A194742 A159798 * A280694 A270313 A343251

Adjacent sequences:  A294233 A294234 A294235 * A294237 A294238 A294239

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 25 2017

STATUS

approved

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Last modified June 18 07:11 EDT 2021. Contains 345098 sequences. (Running on oeis4.)