A294263 Sum of the larger parts of the partitions of n into two parts with smaller part squarefree > 1.

0, 0, 0, 2, 3, 7, 9, 11, 13, 20, 23, 32, 36, 47, 52, 57, 62, 67, 72, 87, 93, 110, 117, 124, 131, 151, 159, 181, 190, 214, 224, 234, 244, 271, 282, 293, 304, 334, 346, 358, 370, 403, 416, 451, 465, 502, 517, 532, 547, 562, 577, 618, 634, 650, 666, 682, 698

Offset

1,4

Links

Table of n, a(n) for n=1..57.

Index entries for sequences related to partitions

Formula

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

Mathematica

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

Crossrefs

Cf. A008683, A008966, A294146.

Sequence in context: A278485 A279064 A294109 * A345745 A280110 A203234

Adjacent sequences: A294260 A294261 A294262 * A294264 A294265 A294266

Keyword

nonn,easy

Author

Wesley Ivan Hurt, Oct 26 2017

Status

approved