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a(1) = 1; thereafter, a(n) = A073327(a(n-1)), using the British English version of A073327 when there is a choice.
4

%I #52 May 02 2022 22:02:59

%S 1,34,160,224,318,222,316,245,277,326,308,198,263,304,209,193,270,261,

%T 282,283,281,259,259,259,259,259,259,259,259,259,259,259,259,259,259,

%U 259,259,259,259,259,259,259,259,259,259,259,259,259,259,259,259,259,259

%N a(1) = 1; thereafter, a(n) = A073327(a(n-1)), using the British English version of A073327 when there is a choice.

%C This sequence uses UK English names (e.g., one hundred and one).

%C Theorem: All nonnegative integers eventually reach either the fixed point 251, the fixed point 259, or the five-cycle 248, 284, 285, 267, 313.

%e a(1) = 1 = ONE => A073327(1) = 34,

%e a(2) = 34 = THIRTY FOUR => A073327(34) = 160,

%e a(3) = 160 = ONE HUNDRED AND SIXTY => A073327(160) = 224, and so on.

%o (PARI) lista(nn) = {my(x=1); for (n=1, nn, x = A073327(x); print1(x, ", "););} \\ _Michel Marcus_, Jul 01 2021; using PARI for A073327

%Y Cf. A073327, A345157.

%Y See also A345240 (a Spanish version).

%K nonn,word

%O 1,2

%A _Paul Duckett_, Jun 08 2021

%E Edited by _N. J. A. Sloane_, Jun 09 2021

%E Corrected (at the suggestion of Stephen Cornelius) and extended by _Sean A. Irvine_, May 01 2022