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 A052199 Numbers that are expressible as the sum of 2 distinct positive squares in more ways than any smaller number. 9
 1, 5, 65, 325, 1105, 5525, 27625, 71825, 138125, 160225, 801125, 2082925, 4005625, 5928325, 29641625, 77068225, 148208125, 243061325, 1215306625, 3159797225, 6076533125, 12882250225, 53716552825, 64411251125, 167469252925, 322056255625, 785817263725 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES Donald S. McDonald, Postings to sci.math newsgroup, Feb 21, 1995 and Dec 04, 1995. LINKS Ray Chandler, Table of n, a(n) for n = 1..94 Dirk FrettlĂ¶h, "Tile Orientations with Distinct Frequencies", Ch. 1.5 in Aperiodic Order, Vol. 2: Crystallography and Almost Periodicity, 2017, see page 9. Donald S. McDonald, World Mathematical Year 2000 Poster Competition G. Xiao, Two squares EXAMPLE 65 = 1^2+8^2 = 4^2+7^2, the smallest expressible in two ways, so 65 is in the sequence. PROG (PARI) c_old=-1; for(n=1, 10000, c=0; for(i=1, floor(sqrt(n)), for(j=1, i-1, if(i^2+j^2==n, c+=1))); if(c>c_old, print1(n, ", "); c_old=c)) - Derek Orr, Mar 15 2019 CROSSREFS Cf. A001983, A007511, A048610, A071383. Subsequence of A054994. Where records occur in A025441; corresponding number of ways is A060306. Sequence in context: A234335 A071902 A211412 * A093195 A292228 A195579 Adjacent sequences:  A052196 A052197 A052198 * A052200 A052201 A052202 KEYWORD nonn AUTHOR Jud McCranie, Jan 28 2000 EXTENSIONS More terms from Randall L. Rathbun, Jan 18 2002 Edited by Ray Chandler, Jan 12 2012 STATUS approved

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Last modified December 7 05:14 EST 2019. Contains 329839 sequences. (Running on oeis4.)