|
|
A165993
|
|
a(n) = sum_{j=1..prime(n)-1} floor (j^2/prime(n)).
|
|
3
|
|
|
0, 1, 4, 11, 31, 44, 80, 103, 157, 252, 293, 420, 520, 575, 695, 884, 1105, 1180, 1431, 1617, 1704, 2007, 2217, 2552, 3040, 3300, 3439, 3713, 3852, 4144, 5255, 5595, 6120, 6305, 7252, 7457, 8060, 8695, 9141, 9804, 10507, 10740, 11983, 12224, 12740
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
Table[Sum[Floor[j^2/n], {j, n-1}], {n, Prime[Range[50]]}] (* Harvey P. Dale, Aug 10 2014 *)
|
|
PROG
|
(PARI) a(n) = sum(j=1, prime(n)-1, floor (j^2/prime(n))) \\ Michel Marcus, Jun 20 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
Definition rephrased by R. J. Mathar, Oct 09 2009
|
|
STATUS
|
approved
|
|
|
|