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A067055 a(n) = (n!)^(n*(n+1)/2). 1
1, 1, 8, 46656, 63403380965376, 15407021574586368000000000000000, 1009212044656507725162109374628859215872000000000000000000000, 46564508204734663249790730337537405675293855389346558493242680777666577039360000000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..7.

FORMULA

(Product of first n natural numbers )^(sum of first n natural numbers )

EXAMPLE

a(5) = (5!)^(1+...+5) = 120^15 = 15407021574586368000000000000000. a(6) = 720^21.

MAPLE

seq(mul(mul(j^k, j=1..n), k=1..n), n=0..7); # Zerinvary Lajos, Jun 02 2007

MATHEMATICA

Table[n!^(n(n + 1)/2), {n, 1, 7}]

PROG

(PARI): for(n=1, 7, print1(n!^sum(k=1, n, k), ", "))

CROSSREFS

Cf. A000142, A000217.

Sequence in context: A256423 A175855 A063374 * A137142 A036535 A259167

Adjacent sequences:  A067052 A067053 A067054 * A067056 A067057 A067058

KEYWORD

easy,nonn

AUTHOR

Amarnath Murthy, Jan 02 2002

EXTENSIONS

More terms from Jason Earls and Robert G. Wilson v, Jan 04 2002

a(0)=1 prepended by Alois P. Heinz, Nov 13 2018

STATUS

approved

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Last modified August 11 03:06 EDT 2020. Contains 336421 sequences. (Running on oeis4.)