login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A303165 Sum of the squarefree differences |q-p| of the parts in the partitions of n into two distinct parts (p,q) where p < q. 1
0, 0, 1, 2, 4, 2, 9, 8, 16, 8, 16, 18, 27, 18, 40, 32, 55, 32, 72, 32, 91, 32, 112, 54, 135, 54, 135, 80, 135, 80, 164, 110, 195, 110, 228, 144, 263, 144, 300, 182, 339, 182, 380, 224, 423, 224, 423, 270, 470, 270, 470, 270, 521, 270, 574, 270, 629, 270, 686 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..59.

Index entries for sequences related to partitions

FORMULA

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

MATHEMATICA

Table[Sum[(n - 2 i) MoebiusMu[n - 2 i]^2, {i, Floor[(n - 1)/2]}], {n, 100}]

CROSSREFS

Cf. A008683, A303205.

Sequence in context: A232565 A058942 A196759 * A188813 A324958 A072866

Adjacent sequences:  A303162 A303163 A303164 * A303166 A303167 A303168

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Apr 19 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 17 16:38 EDT 2019. Contains 325107 sequences. (Running on oeis4.)