A114460 - OEIS

A114460

Integer part of sqrt(n)+sqrt(n+1)+sqrt(n+2)+sqrt(n+3)+sqrt(n+4).

8, 9, 11, 12, 13, 14, 14, 15, 16, 17, 18, 18, 19, 19, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 32, 33, 33, 33, 34, 34, 34, 35, 35, 36, 36, 36, 37, 37, 37, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 41, 41, 41, 42, 42

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

X. Zhan, Formulae for sums of consecutive square roots, The Math. Intelligencer, 27, No. 4, 2005, 4-5.

FORMULA

a(n) = floor(sqrt(25n+49)).

MAPLE

seq(floor(sqrt(25*n+49)), n=1..90);

MATHEMATICA

Table[Floor[Sqrt[25 n + 49]], {n, 80}] (* Vincenzo Librandi, Jun 28 2015 *)