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 A272119 Values of a^2 + b^2 such that the equation (a^2 + b^2)^2 = x^2 + y^2 + z^2 is soluble where a, b, x, y, z are nonzero integers. 0
 13, 17, 18, 25, 26, 29, 34, 37, 41, 45, 50, 52, 53, 58, 61, 65, 68, 72, 73, 74, 82, 85, 89, 90, 97, 98, 100, 101, 104, 106, 109, 113, 116, 117, 122, 125, 130, 136, 137, 145, 146, 148, 149, 153, 157, 162, 164, 169, 170, 173, 178, 180, 181, 185, 193, 194, 197, 200, 202, 205, 208, 212, 218 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 52 is the first term that is not a member of A046711. LINKS Table of n, a(n) for n=1..63. EXAMPLE 13 is a term because 13 = 2^2 + 3^2 and 13^2 = 3^2 + 4^2 + 12^2. PROG (PARI) isA000404(n) = {for( i=1, #n=factor(n)~%4, n[1, i]==3 && n[2, i]%2 && return); n && ( vecmin(n[1, ])==1 || (n[1, 1]==2 && n[2, 1]%2))} isA000408(n) = {my(a, b) ; a=1 ; while(a^2+1

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Last modified April 13 14:26 EDT 2024. Contains 371642 sequences. (Running on oeis4.)