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n-th power of the n-th pentagonal number.
4

%I #7 Sep 08 2022 08:46:02

%S 1,1,25,1728,234256,52521875,17596287801,8235430000000,

%T 5132188731375616,4108400332687853397,4108469075197275390625,

%U 5019255990031848807858176,7355827511386641000000000000,12736801848653359358345383963927,25724477018923486959881583081626689

%N n-th power of the n-th pentagonal number.

%H Bruno Berselli, <a href="/A212333/b212333.txt">Table of n, a(n) for n = 0..100</a>

%F a(n) = A000326(n)^n.

%t Join[{1}, Table[(n ((3 n - 1)/2))^n, {n, 14}]]

%o (Magma) [(n*(3*n-1)/2)^n: n in [0..14]];

%Y Cf. A000312, A085741, A062206.

%K nonn,easy

%O 0,3

%A _Bruno Berselli_, May 09 2012