A298021 Maximal overhang that can be attained from a stack of blocks of lengths 1,2,...,n (denominators).
1, 3, 2, 70, 120, 357, 41496, 2016, 43605, 1180300, 17472840, 601495180, 525594160, 58565520300, 74066256, 3999303586720, 8733019680, 274477212900, 392291457008100, 56011301214120, 31297881399400, 12003126367152512883720, 5673579586816030200, 1466117956976400, 186018119917880598413465400
Offset: 1
Examples
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, ...
Links
- David Treeby, Table of n, a(n) for n = 1..75
- David Treeby, Mathematica code
- David Treeby, Further Thoughts on a Paradoxical Tower, The American Mathematical Monthly 125.1 (2018): 44-60.
Programs
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Mathematica
(* See link. *)
Comments