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%I A154471 #6 Mar 08 2023 12:27:34
%S A154471 31706,4517553,4875253,59657666,65204804,467824043836025,
%T A154471 289931140991491544956,232993060651625904999520564,
%U A154471 12090001045837621170309278896817,41831072194327417802054794318226030
%N A154471 Function A154470 iterated, starting from the initial value 31706.
%C A154471 Note how A014486(31706) = 2988236 and (A014486->parenthesization 2988236) = (() (() (()) (())) (()) (())), from which, when after converting ()'s to e's we get: (e (e (e) (e)) (e) (e)), corresponding to the initial state e[e[e][e]][e][e] of Wolfram's system. A154472 gives the corresponding sequence with ()'s removed.
%H A154471 A. Karttunen, Table of n, a(n) for n = 0..100
%H A154471 S. Wolfram, A New Kind of Science, Wolfram Media Inc., (2002), pp. 102--104, 896-898.
%F A154471 a(0) = 31706, a(n) = A154470(a(n-1)).
%o A154471 (Scheme:) (define (A154471 n) (if (= 0 n) 31706 (A154470 (A154471 (-1+ n)))))
%Y A154471 Cf. A014486, A154470, A154472.
%K A154471 nonn
%O A154471 0,1
%A A154471 _Antti Karttunen_, Jan 11 2009
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