|
%I #15 Aug 11 2022 14:48:28
%S 0,1,2,4,6,10,14,19,20,21,22,30,46,52,62,72,76,85,94,120,126,144,147,
%T 169,174,190,216,221,241,251,254,273,281,289,292,300,301,305,308,323,
%U 338,341,379,382,399,421,429,447,448,449,473,479,490,509,510,544,561,583,588,615,632,651,686,715,726,764
%N Shuffles at which new record high cards appear on top of deck in Guy's shuffling problem A035485.
%D D. Gale, Mathematical Entertainments: "Careful Card-Shuffling and Cutting Can Create Chaos," Mathematical Intelligencer, vol. 14, no. 1, 1992, pages 54-56.
%D D. Gale, Tracking the Automatic Ant and Other Mathematical Explorations, A Collection of Mathematical Entertainments Columns from The Mathematical Intelligencer, Springer, 1998.
%o (Python)
%o from itertools import count, islice
%o def agen(): # generator of terms
%o deck = []; record = 1; yield 0
%o for n in count(1):
%o deck += [2*n-1, 2*n]
%o first, next = deck[:n], deck[n:2*n]
%o deck[0:2*n:2], deck[1:2*n:2] = next, first
%o if deck[0] > record: record = deck[0]; yield n
%o print(list(islice(agen(), 66))) # _Michael S. Branicky_, Aug 11 2022
%Y Cf. A035485, A035493, A035494, A035501.
%K nonn
%O 1,3
%A _N. J. A. Sloane_, _Wouter Meeussen_
%E More terms from _Jud McCranie_
|
