A127722 Floor of square root of sum of squares of n consecutive odd numbers.

1, 3, 5, 9, 12, 16, 21, 26, 31, 36, 42, 47, 54, 60, 67, 73, 80, 88, 95, 103, 111, 119, 127, 135, 144, 153, 161, 171, 180, 189, 199, 208, 218, 228, 239, 249, 259, 270, 281, 292, 303, 314, 325, 336, 348, 360, 372, 383, 396, 408, 420, 432, 445, 458, 470, 483, 496

Offset

1,2

Links

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

Formula

a(n) = A000196[A000447(n)]. - R. J. Mathar, Jan 28 2007

Maple

A000447 := proc(n) binomial(2*n+1, 3) ; end: A000196 := proc(n) floor(sqrt(n)) ; end: A127722 := proc(n) A000196(A000447(n)) ; end: for n from 1 to 30 do printf("%d, ", A127722(n)) ; od ; # R. J. Mathar, Jan 28 2007

Mathematica

a = {}; k = 0; Do[k = k + x^2; AppendTo[a, Floor[Sqrt[k]]], {x, 1, 150, 2}]; a

Crossrefs

Cf. A127719, A127720, A127721.

Sequence in context: A175098 A351389 A242067 * A234813 A060419 A005766

Adjacent sequences: A127719 A127720 A127721 * A127723 A127724 A127725

Keyword

nonn

Author

Artur Jasinski, Jan 25 2007

Status

approved