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A085741 T(n)^n, where T() are the triangular numbers (A000217). 4
1, 1, 9, 216, 10000, 759375, 85766121, 13492928512, 2821109907456, 756680642578125, 253295162119140625, 103510234140112521216, 50714860157241037295616, 29345269354638035222576971 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

a(n) = ((n*(n+1))/2)^n. - Vincenzo Librandi, Sep 14 2011

EXAMPLE

a(3) = T(3)^3 = 6^3 = 216.

MAPLE

a:=n->mul(sum(j, j=1..n), k=1..n): seq(a(n), n=0..13); - Zerinvary Lajos, Jun 02 2007

MATHEMATICA

With[{rnn=Range[20]}, Join[{1}, First[#]^Last[#]&/@Thread[ {Accumulate[ rnn],  rnn}]]](* Harvey P. Dale, Dec 08 2013 *)

PROG

(PARI) for(n=0, 10, print1(t(n)^n", "))

(MAGMA) [((n*(n+1))/2)^n: n in [0..20]]; // Vincenzo Librandi, Sep 14 2011

CROSSREFS

Cf. A000217.

Essentially the same as A061718.

Cf. A000312, A062206, A212333.

Sequence in context: A064633 A084942 A061718 * A211044 A152288 A179153

Adjacent sequences:  A085738 A085739 A085740 * A085742 A085743 A085744

KEYWORD

nonn,easy

AUTHOR

Jon Perry, Jul 21 2003

EXTENSIONS

More terms from Ray Chandler, Nov 09 2003

STATUS

approved

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Last modified February 22 13:09 EST 2018. Contains 299454 sequences. (Running on oeis4.)