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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A293504 The integer k that minimizes |k/n^2 - sqrt(2)|. 3
 0, 1, 6, 13, 23, 35, 51, 69, 91, 115, 141, 171, 204, 239, 277, 318, 362, 409, 458, 511, 566, 624, 684, 748, 815, 884, 956, 1031, 1109, 1189, 1273, 1359, 1448, 1540, 1635, 1732, 1833, 1936, 2042, 2151, 2263, 2377, 2495, 2615, 2738, 2864, 2992, 3124, 3258 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Clark Kimberling, Table of n, a(n) for n = 0..1000 FORMULA a(n) = floor(1/2 + (n^2)*sqrt(2)). a(n) = A293502(n) if (fractional part of (sqrt(2))*n^2) < 1/2, else a(n) = A293503(n). MATHEMATICA z = 120; r = Sqrt[2]; Table[Floor[r*n^2], {n, 0, z}]; (* A293502 *) Table[Ceiling[r*n^2], {n, 0, z}]; (* A293503 *) Table[Round[r*n^2], {n, 0, z}]; (* A293504 *) PROG (PARI) vector(100, n, n--; round(n^2*sqrt(2))) \\ G. C. Greubel, Aug 16 2018 (Magma) [Round(n^2*Sqrt(2)): n in [0..100]]; // G. C. Greubel, Aug 16 2018 CROSSREFS Cf. A002193, A293502, A293503. Sequence in context: A236577 A356091 A359351 * A194126 A296310 A235450 Adjacent sequences: A293501 A293502 A293503 * A293505 A293506 A293507 KEYWORD nonn,easy AUTHOR Clark Kimberling, Oct 12 2017 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 22 02:45 EST 2024. Contains 370239 sequences. (Running on oeis4.)