A294144 Sum of the smaller parts of the partitions of 2n into two parts with larger part squarefree.

1, 3, 4, 6, 12, 14, 15, 17, 28, 41, 44, 48, 64, 67, 68, 70, 89, 93, 116, 122, 149, 157, 163, 169, 199, 230, 235, 268, 303, 311, 318, 325, 364, 372, 379, 387, 432, 441, 448, 456, 504, 512, 519, 527, 580, 635, 644, 654, 713, 773, 834, 846, 911, 925, 994, 1010

Offset

1,2

Links

Table of n, a(n) for n=1..56.

Index entries for sequences related to partitions

Formula

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

Mathematica

Table[Sum[i*MoebiusMu[2 n - i]^2, {i, n}], {n, 80}]

Crossrefs

Cf. A008683, A008966, A294143.

Sequence in context: A113728 A000114 A310006 * A136243 A250985 A051592

Adjacent sequences: A294141 A294142 A294143 * A294145 A294146 A294147

Keyword

nonn,easy

Author

Wesley Ivan Hurt, Oct 23 2017

Status

approved