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A100197 Numbers of squares in the range [n^3, (n+1)^3]. +0
2
2, 2, 3, 3, 4, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 10, 9, 9, 9, 10, 10, 9, 10, 10, 10, 11, 10, 11, 11, 11, 10, 11, 11, 11, 12, 11, 11, 12, 11, 12, 12, 12, 12, 13, 12, 12, 12, 13, 12, 13, 12, 13, 13, 13, 13, 13, 13, 14, 13, 14, 14, 14 (list; graph; listen)
OFFSET

0,1

EXAMPLE

a(0)=2 because between the cubes 0 and 1 there are exactly 2 squares, {0,1}.

a(1)=2 because between the cubes 1 and 8 there are exactly 2 squares, {1,4}.

MATHEMATICA

Table[ Floor[Sqrt[(n + 1)^3] - Ceiling[Sqrt[n^3]]] + 1, {n, 0, 82}] (Ray Chandler)

CROSSREFS

Sequence in context: A064097 A014701 A056239 this_sequence A057022 A087504 A067539

Adjacent sequences: A100194 A100195 A100196 this_sequence A100198 A100199 A100200

KEYWORD

easy,nonn

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Dec 27 2004

EXTENSIONS

Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 09 2005

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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