

A036465


If n^2 = Sum_{i} b(i)^2 for positive integers b(i) < n, then a(n) is the maximum value of min(b(i)).


1



1, 1, 2, 3, 3, 2, 4, 4, 6, 6, 6, 5, 7, 9, 8, 8, 9, 8, 12, 8, 12, 8, 12, 15, 13, 12, 14, 20, 18, 14, 16, 18, 17, 21, 18, 14, 19, 19, 24, 23, 21, 18, 24, 27, 23, 20, 24, 23, 30, 24, 26, 28, 27, 33, 28, 28, 40, 30, 36, 28, 31, 34, 32, 39, 36, 31, 34, 35, 42, 30
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OFFSET

2,3


LINKS

Alois P. Heinz, Table of n, a(n) for n = 2..800


EXAMPLE

a(9) = 4 since 9^2 = 7^2 + 4^2 + 4^2.


MAPLE

b:= proc(n, i) option remember; (s> `if`(i=1, 1,
`if`(s>=n and issqr(n), isqrt(n), max(
`if`(s>n, 0, b(ns, i)), b(n, i1)))))(i^2)
end:
a:= n> b(n^2, n1):
seq(a(n), n=2..75); # Alois P. Heinz, Nov 03 2020


CROSSREFS

Sequence in context: A238444 A076742 A308284 * A265339 A182865 A131469
Adjacent sequences: A036462 A036463 A036464 * A036466 A036467 A036468


KEYWORD

nonn


AUTHOR

Erich Friedman


EXTENSIONS

Title improved by Sean A. Irvine, Nov 03 2020


STATUS

approved



