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A201206 Number of successive decreasing values of round(n^(2/3))^3 - n^2. 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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
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
KEYWORD
nonn
AUTHOR
Artur Jasinski, Jan 07 2012
STATUS
approved

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)