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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
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, 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, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

(column 2)=A184532=A000290+A007590;

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

(column 4)=A184534;

(column 5)=A184535;

(column 6)=A080476.

LINKS

Table of n, a(n) for n=1..162.

FORMULA

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

EXAMPLE

First 2 rows:

3, 2, 1, 1, 1, 1

12, 6, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

MATHEMATICA

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

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

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

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

CROSSREFS

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

Sequence in context: A227141 A284997 A306709 * A016557 A073572 A073356

Adjacent sequences:  A184529 A184530 A184531 * A184533 A184534 A184535

KEYWORD

nonn,tabf

AUTHOR

Clark Kimberling, Jan 16 2011

STATUS

approved

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Last modified August 5 06:37 EDT 2021. Contains 346458 sequences. (Running on oeis4.)