A298020 - OEIS

A298020

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

1, 8, 9, 463, 1057, 4010, 570097, 32903, 828667, 25743541, 431266313, 16610986697, 16089123031, 1971622002613, 2723872673, 159888988030039, 377543463271, 12771918729143, 19566551419628659, 2983570575161357, 1774565709813223

(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 denominators see A298021.

Cf. A001108/A002805, A065071.

Sequence in context: A041605 A239524 A115073 * A042393 A264777 A114132

Adjacent sequences: A298017 A298018 A298019 * A298021 A298022 A298023

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 15 2018

STATUS

approved