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A154226 List of pairs: {((n*(n+1)/2)^2, (n!)^3}. 1
0, 1, 1, 1, 9, 8, 36, 216, 100, 13824, 225, 1728000, 441, 373248000, 784, 128024064000, 1296, 65548320768000, 2025, 47784725839872000, 3025, 47784725839872000000, 4356, 63601470092869632000000, 6084 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..500

FORMULA

a(2n+1)=A000442(n) = (n!)^3.

a(2n) = A000537(n) = (n*(n+1)/2)^2.

MATHEMATICA

Clear[a, n, n];

a[0] = 0; a[n_] := a[n] = n^3 + a[n - 1];

b[0] = 1; b[n_] := b[n] = n^3*b[n - 1];

Table[{a[n] - (n*(n + 1)/2)^2, b[n] - (n!)^3}, {n, 0, 10}]; (* verification *)

Flatten[Table[{a[n], b[n]}, {n, 0, 15}]] (* sequence values *)

PROG

(MAGMA) &cat[[(n*(n+1)/2)^2, Factorial(n)^3]: n in [0..15]]; // Vincenzo Librandi, Sep 07 2016

CROSSREFS

Sequence in context: A251091 A159078 A253090 * A177187 A030027 A082201

Adjacent sequences:  A154223 A154224 A154225 * A154227 A154228 A154229

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, Jan 05 2009

STATUS

approved

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Last modified August 9 22:52 EDT 2020. Contains 336335 sequences. (Running on oeis4.)