A297896 Largest integer that cannot be represented as x1^2 + ... + xk^2, where k >= 1, n <= x1 < ... < xk, and 1/x1 + ... + 1/xk = 1.

8542, 8542, 8623, 9623, 12367, 15707, 19116, 24317

Offset

1,1

Comments

Terms a(1)=a(2)=8542 correspond to sequence A297895, and a(6)=15707 corresponds to sequence A303400.

Links

Table of n, a(n) for n=1..8.

Max Alekseyev (2019). On partitions into squares of distinct integers whose reciprocals sum to 1. In: J. Beineke, J. Rosenhouse (eds.) The Mathematics of Various Entertaining Subjects: Research in Recreational Math, Volume 3, Princeton University Press, pp. 213-221. ISBN 978-0-691-18257-5 DOI:10.2307/j.ctvd58spj.18 Preprint arXiv:1801.05928 [math.NT], 2018.

Crossrefs

Cf. A297895, A303400.

Sequence in context: A188214 A252810 A202986 * A217338 A217163 A243839

Adjacent sequences: A297893 A297894 A297895 * A297897 A297898 A297899

Keyword

nonn,more

Author

Max Alekseyev, Jan 20 2018

Status

approved