A177041 Sum(round(k^2/n),k=1..n).

1, 3, 4, 7, 11, 16, 20, 26, 31, 39, 44, 53, 63, 74, 82, 94, 105, 119, 128, 141, 157, 174, 188, 204, 221, 239, 254, 275, 295, 318, 336, 360, 377, 403, 422, 447, 475, 502, 526, 554, 581, 611, 636, 665, 697, 732, 760, 794, 825, 861

Offset

1,2

Comments

The round function, also called the nearest integer function, is defined here by round(x)=floor(x+1/2).

Links

Table of n, a(n) for n=1..50.

Mircea Merca, Inequalities and Identities Involving Sums of Integer Functions J. Integer Sequences, Vol. 14 (2011), Article 11.9.1.

Maple

A177041 := proc(n)
    add( round(j^2/n), j=1..n) ;
end proc:

Mathematica

Table[Sum[Floor[k^2/n + 1/2], {k, n}], {n, 50}]

Crossrefs

Cf. A014817.

Sequence in context: A027022 A120365 A166375 * A379302 A357680 A060962

Adjacent sequences: A177038 A177039 A177040 * A177042 A177043 A177044

Keyword

nonn,easy

Author

Mircea Merca, Dec 09 2010

Status

approved