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Number of stacks of n pancakes requiring a maximum number of flips to order.
2

%I #50 Feb 19 2024 10:39:24

%S 1,1,1,3,20,2,35,455,5804,73232,6,167,2001,24974,339220,4646117,

%T 65758725

%N Number of stacks of n pancakes requiring a maximum number of flips to order.

%C a(n) is the last term in row n in A092113. - _Joerg Arndt_, Mar 01 2023

%C a(18) >= 12357059, a(19) >= 410 from J. Cibulka's webpage. - _Dan Dima_, Feb 19 2024

%H Josef Cibulka, <a href="https://arxiv.org/abs/0901.3119">Average number of flips in pancake sorting</a>, arXiv:0901.3119 [cs.DM], 2009.

%H Josef Cibulka, <a href="https://doi.org/10.1016/j.tcs.2010.11.028">On average and highest number of flips in pancake sorting</a>, Theoretical Computer Science, Volume 412, Issue 8-10, March 2011, pp 822-834.

%H Josef Cibulka, <a href="https://iuuk.mff.cuni.cz/~cibulka/pancakes/">Pancake sorting</a>, webpage.

%H Mohammad Hossain Heydari and Ivan Hal Sudborough, <a href="https://doi.org/10.1006/jagm.1997.0874">On the Diameter of the Pancake Network</a>, Journal of Algorithms, Volume 25, Issue 1 Oct. 1997, pp. 67-94.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PancakeSorting.html">Pancake Sorting</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Pancake_sorting">Pancake sorting</a>.

%Y Cf. A058986, A092113.

%K nonn,hard,more

%O 1,4

%A _Eric W. Weisstein_

%E Corrected and extended by _Rob Pratt_, Feb 21 2004

%E a(11)-a(12) from _Sean A. Irvine_, Dec 23 2023

%E a(13)-a(17) from _Dan Dima_, Feb 10 2024