login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 4 07:49 EDT 2021. Contains 346445 sequences. (Running on oeis4.)