The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A104058 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A104058

a(n) = |{k^2: 0 <= k^2 <= n}| + |{k^3: 0 <= k^3 <= n}|.
(history; published version)

#6 by Alois P. Heinz at Sat Jun 24 16:10:21 EDT 2017

STATUS

editing

approved

#5 by Alois P. Heinz at Sat Jun 24 16:10:17 EDT 2017

FORMULA

a(n) = 2 + floor(n^(1/2)) + floor(n^(1/3)).

STATUS

approved

editing

#4 by Alois P. Heinz at Sat Jun 24 16:10:01 EDT 2017

STATUS

editing

approved

#3 by Alois P. Heinz at Sat Jun 24 16:09:46 EDT 2017

NAME

a(n) = |{k^2: 0 <= k^2 <= n}| + |{k^3: 0 <= k^3 <= n}|.

FORMULA

a(n) = 2+floor(n^(1/2)) + floor(n^(1/3)).

EXTENSIONS

Better definition from _Emeric Deutsch, _, Mar 25 2005

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 18:40:00 EDT 2012

AUTHOR

_Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), _, Mar 02 2005

Discussion

Fri Mar 30

18:40

OEIS Server: https://oeis.org/edit/global/226

#1 by N. J. A. Sloane at Sat Apr 09 03:00:00 EDT 2005

NAME

|{k^2: 0 <= k^2 <= n}| + |{k^3: 0 <= k^3 <= n}|.

DATA

2, 4, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 15, 15, 15, 15, 15, 15

OFFSET

0,1

FORMULA

a(n)=2+floor(n^(1/2))+floor(n^(1/3)).

CROSSREFS

Cf. A104055.

KEYWORD

nonn

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Mar 02 2005

EXTENSIONS

Better definition from Emeric Deutsch, Mar 25 2005

STATUS

approved