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A298021
Maximal overhang that can be attained from a stack of blocks of lengths 1,2,...,n (denominators).
2
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
1,2
COMMENTS
Data supplied by David Treeby.
For the classical problem when there are n blocks all of the same length see A001108/A002805 and A065071.
REFERENCES
Treeby, David. "Further Thoughts on a Paradoxical Tower." The American Mathematical Monthly 125.1 (2018): 44-60.
LINKS
David Treeby, Mathematica code
EXAMPLE
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, ...
MATHEMATICA
See link.
CROSSREFS
For numerators see A298020.
Sequence in context: A063513 A265635 A265619 * A016461 A069576 A249678
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jan 15 2018
STATUS
approved