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 A255270 Integer part of fourth root of n. 6
 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,17 COMMENTS n appears (n+1)^4 - n^4 times (A005917). LINKS Bruno Berselli, Table of n, a(n) for n = 0..1000 FORMULA a(n) = floor(n^(1/4)) = floor(sqrt(A000196(n))). G.f.: Sum_{k>=1} x^(k^4)/(1 - x). - Ilya Gutkovskiy, Dec 22 2016 a(n) = Sum_{i=1..n} A219009(i)*floor(n/i). - Ridouane Oudra, Feb 26 2023 MAPLE A255270 := proc(n) floor( n^(1/4)) ; end proc: seq(A255270(n), n=0..100) ; # R. J. Mathar, May 08 2020 MATHEMATICA Floor[Range[0, 100]^(1/4)] PROG (PARI) vector(100, n, n--; floor(n^(1/4))) (PARI) a(n) = sqrtnint(n, 4); \\ Michel Marcus, Dec 22 2016 (Sage) [floor(n^(1/4)) for n in (0..100)] (Magma) [IsZero(n) select 0 else Iroot(n, 4): n in [0..100]]; (Magma) [Floor(n^(1/4)): n in [0..100]]; // Vincenzo Librandi, Feb 20 2015 CROSSREFS Cf. A005917. Cf. sequences of the type floor(n^(1/k)): A000196 (k=2), A048766 (k=3), this sequence (k=4), A178487 (k=5), A178489 (k=6). Cf. A219009. Sequence in context: A276502 A138902 A211668 * A211670 A036452 A356852 Adjacent sequences: A255267 A255268 A255269 * A255271 A255272 A255273 KEYWORD nonn,easy AUTHOR Bruno Berselli, Feb 20 2015 STATUS approved

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Last modified August 3 19:43 EDT 2024. Contains 374909 sequences. (Running on oeis4.)