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A298021 Maximal overhang that can be attained from a stack of blocks of lengths 1,2,...,n (denominators). 2

%I #12 Jan 15 2018 08:59:06

%S 1,3,2,70,120,357,41496,2016,43605,1180300,17472840,601495180,

%T 525594160,58565520300,74066256,3999303586720,8733019680,274477212900,

%U 392291457008100,56011301214120,31297881399400,12003126367152512883720,5673579586816030200,1466117956976400,186018119917880598413465400

%N Maximal overhang that can be attained from a stack of blocks of lengths 1,2,...,n (denominators).

%C Data supplied by David Treeby.

%C For the classical problem when there are n blocks all of the same length see A001108/A002805 and A065071.

%D Treeby, David. "Further Thoughts on a Paradoxical Tower." The American Mathematical Monthly 125.1 (2018): 44-60.

%H David Treeby, <a href="/A298021/b298021.txt">Table of n, a(n) for n = 1..75</a>

%H David Treeby, <a href="/A298020/a298020.txt">Mathematica code</a>

%e The maximal overhangs are 1, 8/3, 9/2, 463/70, 1057/120, 4010/357, 570097/41496, 32903/2016, 828667/43605, 25743541/1180300, 431266313/17472840, 16610986697/601495180, ...

%t See link.

%Y For numerators see A298020.

%Y Cf. A001108/A002805, A065071.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Jan 15 2018

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