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A184532 Array, read by rows: T(n,h)=floor[1/{(h+n^3)^(1/3)}], where h=1,2,...,3n^2+3n and {}=fractional part. 2

%I #8 Apr 12 2013 13:06:08

%S 3,2,1,1,1,1,12,6,4,3,2,2,2,1,1,1,1,1,1,1,1,1,1,1,27,13,9,7,5,4,4,3,3,

%T 3,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,48,24,16,12,9,

%U 8,7,6,5,5,4,4,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,75,37,25,18,15,12,10,9,8,7,7,6,5,5,5,4,4,4,4,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1

%N Array, read by rows: T(n,h)=floor[1/{(h+n^3)^(1/3)}], where h=1,2,...,3n^2+3n and {}=fractional part.

%C (column 1)=A033428 (3n^2);

%C (column 2)=A184532=A000290+A007590;

%C (column 3)=A000290 (n^2);

%C (column 4)=A184534;

%C (column 5)=A184535;

%C (column 6)=A080476.

%F T(n,h)=floor[1/{(h+n^3)^(1/3)}], where h=1,2,...,3n^2+3n and {}=fractional part.

%e First 2 rows:

%e 3, 2, 1, 1, 1, 1

%e 12, 6, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

%t f[n_,h_]:=FractionalPart[(n^3+h)^(1/3)];

%t g[n_,h_]:=Floor[1/f[n,h]];

%t Table[Flatten[Table[g[n,h],{n,1,5},{h,1,3n^2+3n}]]]

%t TableForm[Table[g[n,h],{n,1,5},{h,1,3n^2+3n}]]

%Y Cf. A013942 (analogous array for sqrt(h+n^2), A184533

%K nonn,tabf

%O 1,1

%A _Clark Kimberling_, Jan 16 2011

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Last modified April 19 05:02 EDT 2024. Contains 371782 sequences. (Running on oeis4.)