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 A293502 Greatest integer k such that k/n^2 < sqrt(2). 3
 0, 1, 5, 12, 22, 35, 50, 69, 90, 114, 141, 171, 203, 239, 277, 318, 362, 408, 458, 510, 565, 623, 684, 748, 814, 883, 956, 1030, 1108, 1189, 1272, 1359, 1448, 1540, 1634, 1732, 1832, 1936, 2042, 2151, 2262, 2377, 2494, 2614, 2737, 2863, 2992, 3123, 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(r*n^2), where r = sqrt(2). a(n) = A293503(n) - 1 for n > 0. 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--; floor(n^2*sqrt(2))) \\ G. C. Greubel, Aug 16 2018 (MAGMA) [Floor(n^2*Sqrt(2)): n in [0..100]]; // G. C. Greubel, Aug 16 2018 CROSSREFS Cf. A002193, A293503, A293504. Sequence in context: A217649 A131976 A074376 * A134340 A000326 A022795 Adjacent sequences:  A293499 A293500 A293501 * A293503 A293504 A293505 KEYWORD nonn,easy AUTHOR Clark Kimberling, Oct 11 2017 STATUS approved

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Last modified December 12 07:50 EST 2018. Contains 318053 sequences. (Running on oeis4.)