The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A338277 Greatest integer whose square root is less than or equal to Sum_{j=0..n} sqrt(j). 1
 0, 1, 5, 17, 37, 70, 117, 181, 265, 372, 504, 664, 855, 1079, 1339, 1637, 1977, 2361, 2791, 3271, 3802, 4388, 5032, 5735, 6501, 7333, 8232, 9202, 10245, 11364, 12562, 13841, 15204, 16654, 18193, 19824, 21549, 23372, 25295, 27321, 29451, 31690, 34040, 36502, 39081, 41778, 44597, 47539, 50609, 53807 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Robert Israel, Table of n, a(n) for n = 0..2000 FORMULA a(n) ~ (4/9)*n^3 + (2/3)*n^2 + (4*zeta(-1/2)/3)*n^(3/2) + (11/36)*n + zeta(-1/2)*sqrt(n). - Robert Israel, Oct 28 2020 MAPLE f:= n -> floor(add(sqrt(i), i=1..n)^2): map(f, [\$0..100]); # Robert Israel, Oct 28 2020 MATHEMATICA a[n_] := Floor[(Sum[ Sqrt[k], {k, 0, n}])^2]; Array[a, 50, 0] PROG (PARI) a(n) = floor(sum(j=0, n, sqrt(j))^2); \\ Michel Marcus, Oct 26 2020 CROSSREFS Cf. A025224. Sequence in context: A053755 A162373 A146781 * A348228 A107199 A048209 Adjacent sequences: A338274 A338275 A338276 * A338278 A338279 A338280 KEYWORD nonn AUTHOR Robert G. Wilson v, Oct 21 2020 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 25 00:32 EST 2024. Contains 370308 sequences. (Running on oeis4.)