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A255270 Integer part of fourth root of n. 2
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

MAPLE

P:=proc(q) local n; for n from 0 to q do print(evalf(trunc(n^(1/4))));

od; end: P(100); # Paolo P. Lava, Feb 23 2015

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).

Sequence in context: A276502 A138902 A211668 * A211670 A036452 A285481

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 January 24 13:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)