A201206 - OEIS

A201206

Number of successive decreasing values of round(n^(2/3))^3 - n^2.

1, 2, 3, 3, 3, 4, 4, 4, 5, 5, 4, 6, 5, 6, 6, 6, 6, 6, 7, 6, 7, 7, 7, 8, 7, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 9, 9, 10, 9, 10, 10, 9, 10, 10, 11, 10, 10, 11, 10, 11, 11, 11, 11, 11, 11, 12, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 12, 13, 13, 13, 13, 13

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OFFSET

1,2

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = floor((n+1/2)^(3/2)) - floor((n-1/2)^(3/2)). - Robert Israel, Jun 06 2014

MAPLE

A:= n -> floor((n+1/2)^(3/2)) - floor((n-1/2)^(3/2)):

seq(A(n), n=1..100); # Robert Israel, Jun 06 2014

MATHEMATICA

ile = 0; aa = {}; d1 = -1; Do[ile = ile + 1; xx = Round[y^(2/3)]; dd = xx^3 - y^2; If[dd > 0 && d1 < 0, AppendTo[aa, ile]; ile = 0]; d1 = dd, {y, 2, 1000}]; aa

CROSSREFS

Sequence in context: A013940 A029129 A087842 * A101776 A189721 A202304

Adjacent sequences: A201203 A201204 A201205 * A201207 A201208 A201209

KEYWORD

nonn

AUTHOR

Artur Jasinski, Jan 07 2012

STATUS

approved