cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A097547 a(n) = n^(2^n).

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%I A097547 #37 Sep 29 2023 19:43:32
%S A097547 0,1,16,6561,4294967296,23283064365386962890625,
%T A097547 63340286662973277706162286946811886609896461828096,
%U A097547 1487815647197611695910312681741273570332356717154798949898498305086387315423300999654757561928633305897036801
%N A097547 a(n) = n^(2^n).
%C A097547 Number of mappings from 2^X to X where X is an n-set.
%H A097547 Vincenzo Librandi, <a href="/A097547/b097547.txt">Table of n, a(n) for n = 0..9</a> (shortened by _N. J. A. Sloane_, Jan 13 2019)
%H A097547 Yasutoshi Kohmoto, <a href="http://boat.zero.ad.jp/~zbi74583/another02.htm">The Other Side of Mathematics</a> [broken link?]
%H A097547 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 A097547 From _R. J. Mathar_, Apr 23 2007: (Start)
%F A097547 a(6) = A080174(6) - 1.
%F A097547 a(5) = A013737(10) = A013835(6).
%F A097547 a(4) = A000079(32) = A002489(4) = A000215(5)-1.
%F A097547 (End)
%F A097547 Sum_{n>=1} 1/a(n) = A216992. - _Amiram Eldar_, Nov 19 2020
%p A097547 a:= n-> (t-> (t@@n)(n))(j-> j^2):
%p A097547 seq(a(n), n=0..7);  # _Alois P. Heinz_, Sep 29 2023
%t A097547 Table[n^2^n,{n,0,7}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 01 2010 *)
%o A097547 (Magma) [n^(2^n): n in [0..12]]; // _Vincenzo Librandi_, May 25 2011
%o A097547 (PARI) a(n)=n^(1<<n) \\ _Charles R Greathouse IV_, May 25 2011
%Y A097547 Cf. A000290, A020955, A099129, A216992.
%K A097547 nonn
%O A097547 0,3
%A A097547 _Yasutoshi Kohmoto_, Aug 28 2004