A154471 Function A154470 iterated, starting from the initial value 31706.

31706, 4517553, 4875253, 59657666, 65204804, 467824043836025, 289931140991491544956, 232993060651625904999520564, 12090001045837621170309278896817, 41831072194327417802054794318226030

Offset: 0

Author

Antti Karttunen, Jan 11 2009

Keywords

• nonn

Comments

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.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..100
• Stephen Wolfram, A New Kind of Science, Wolfram Media Inc., (2002), pp. 102-104, 896-898.

Crossrefs

Cf. A014486, A154470, A154472.

Programs

Scheme

(define (A154471 n) (if (= 0 n) 31706 (A154470 (A154471 (-1+ n)))))

Formula

a(0) = 31706, a(n) = A154470(a(n-1)).