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

1,2

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, Table of n, a(n) for n = 1..75

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.

Cf. A001108/A002805, A065071.

Sequence in context: A063513 A265635 A265619 * A016461 A069576 A249678

Adjacent sequences: A298018 A298019 A298020 * A298022 A298023 A298024

Keyword

nonn

Author

N. J. A. Sloane, Jan 15 2018

Status

approved