%I #24 Oct 24 2023 06:12:54

%S 25,26,29,30,41,45,46,49,50,53,54,61,62,65,66,69,70,74,75,77,78,79,81,

%T 82,84,85,86,87,89,90,91,93,94,95,98,99,100,101,102,103,104,105,106,

%U 107,109,110,111,113,114,115,116,117,118,119,120,121,122,123

%N Sums of distinct nonzero squares in more than one way.

%C The largest integer not in this sequence is 132. Proof based on Theorem 3 from M. J. Wiener link: All the numbers from 148+1 to 148+12^2 are the sum of distinct squares from {1^2,...,11^2} in more than one way (direct calculation). This range can be extended indefinitely by adding 12^2, 13^2, etc. Numbers between 132 and 148 confirmed from A033461. - _Martin Fuller_, Aug 28 2023

%H M. J. Wiener, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL26/Wiener/wiener3.html">The Largest Integer Not the Sum of Distinct 8th Powers</a>, J. Integer Sequences, 26 (2023), Article 23.5.4.

%H <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>

%F For n >= 65, a(n) = n + 68 (see comment). - _Martin Fuller_, Aug 28 2023

%Y Cf. A033461, A003995.

%K nonn

%O 1,1

%A _N. J. A. Sloane_