A054847 -id:A054847

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A054846

Nearest integer to n^(2/3).

+10
3

0, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..78.

MAPLE

Digits := 100; [ seq(round(eval(n^(2/3))), n=0..100) ];

CROSSREFS

Cf. A002821, A054847, A054848.

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley, Apr 14 2000

STATUS

approved

A054848

n - nearest integer to (nearest integer to n^(2/3))^(3/2).

+10
2

0, 0, -1, 0, -1, 0, 1, -1, 0, 1, -1, 0, 1, -2, -1, 0, 1, -2, -1, 0, 1, -2, -1, 0, 1, -2, -1, 0, 1, 2, -2, -1, 0, 1, 2, -1, 0, 1, 2, -3, -2, -1, 0, 1, 2, -2, -1, 0, 1, 2, -2, -1, 0, 1, 2, 3, -2, -1, 0, 1, 2, 3, -2, -1, 0, 1, 2, 3, -2, -1, 0, 1, 2, 3, -2, -1, 0, 1, 2, 3, -3, -2, -1, 0, 1, 2, 3, -2

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,14

LINKS

Table of n, a(n) for n=0..87.

FORMULA

a(n) = n-A002821(A054846(n)) = n-A054847(n)