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A133042 Cubes of partition numbers. 6
1, 1, 8, 27, 125, 343, 1331, 3375, 10648, 27000, 74088, 175616, 456533, 1030301, 2460375, 5451776, 12326391, 26198073, 57066625, 117649000, 246491883, 496793088, 1006012008, 1976656375, 3906984375, 7506509912, 14455457856 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..5000

FORMULA

a(n) = A000041(n)^3.

a(n) ~ exp(Pi*sqrt(6*n)) / (192*sqrt(3)*n^3). - Vaclav Kotesovec, Dec 01 2015

EXAMPLE

a(10) = 74088 because the partition number of 10 is 42 and 42^3 is 74088.

MATHEMATICA

Table[PartitionsP[n]^3, {n, 0, 40}] (* Vaclav Kotesovec, Dec 01 2015 *)

PROG

(Haskell)

a133042 = (^ 3) . a000041  -- Reinhard Zumkeller, Nov 15 2015

(PARI) for(n=0, 20, print1(numbpart(n)^3, ", ")) \\ G. C. Greubel, Oct 02 2017

CROSSREFS

Cf. A000578, A030078. Partition number: A000041.

Cf. A001255, A260664.

Sequence in context: A046452 A030078 A051751 * A181361 A056570 A165048

Adjacent sequences:  A133039 A133040 A133041 * A133043 A133044 A133045

KEYWORD

nonn

AUTHOR

Omar E. Pol, Oct 30 2007

STATUS

approved

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Last modified March 19 00:14 EDT 2019. Contains 321306 sequences. (Running on oeis4.)