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

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 *)
Floor[Total/@Partition[Sqrt[Range[80]], 5, 1]] (* Harvey P. Dale, Nov 08 2020 *)

Prog

(PARI) vector(80, n, sqrtint(25*n+49)) \\ Michel Marcus, Jun 27 2015
(Magma) [Floor(Sqrt(25*n+49)): n in [1..80]]; // Vincenzo Librandi, Jun 28 2015

Crossrefs

Cf. A000267, A114458, A114459.

Sequence in context: A048000 A048081 A109936 * A120201 A188056 A128234

Adjacent sequences: A114457 A114458 A114459 * A114461 A114462 A114463

Keyword

nonn

Author

Emeric Deutsch, Nov 28 2005

Status

approved