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A020955 a(n) = n^(2^n - n - 1). 1

%I #28 Sep 02 2018 03:31:40

%S 1,1,2,81,4194304,1490116119384765625,

%T 226267027688376192080197927193400943822503936,

%U 258086210989349276047917817413172383631691140276099547911280598425927853437317437263620645695945672001

%N a(n) = n^(2^n - n - 1).

%C Number of finite models of natural number on the free class with n members.

%H Yasutoshi Kohmoto, <a href="http://boat.zero.ad.jp/~zbi74583/another02.htm">The Other Side of Mathematics</a> [broken link?]

%H Yasutoshi Kohmoto, <a href="http://web.archive.org/web/20120409075427/http://boat.zero.ad.jp/~zbi74583/another02.htm">The Other Side of Mathematics</a> [via Internet Archive Wayback-machine]

%F a(n) = A097547(n)/A007778(n), n > 0. - _R. J. Mathar_, Jan 12 2017

%e For n=2, a(2)=2, universe class={0,1}.

%e 1 : { }ma 0, {0}ma 1, {0,1}ma 1, {1}ma 0,

%e 2 : { }ma 0, {0}ma 1, {0,1}ma 1, {1}ma 1.

%Y Cf. A097547.

%K nonn

%O 0,3

%A _Yasutoshi Kohmoto_

%E a(0)=1 and a(7) corrected by _Vincenzo Librandi_, Apr 25 2011

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)