The Count and First Appearance of n for Triads of Squares Summing to n

The Least positive number x, for 1 <= x <= 3e10, having exactly n partitions into three squares is given for the first 101,274 terms of n (and some beyond). Supplementary sequences are derived from this sequence, the relative highs and relative lows. Four graphic gnuplots are provided to illustrate the unique distribution properties of this sequence. The Online Encyclopaedia of Integer Sequences (OEIS) has 3 series derived from this sequence. They are: https://oeis.org/A095809 https://oeis.org/A124970 https://oeis.org/A000437 Using the triads.112386.results database as the root sequence, the 3 sequences can be derived as follows: Change 1st entry from "1 1" to "1 0" --> A000437 No changes --> A095809 Prepend new first entry "0 7" --> A124970 Reference URL: https://tigerweb.towson.edu/akumchev/a18.pdf AMS: Primary: 11E25, 11P55, Secondary: 11E45