Neil Sloane uses a different formula:
2^(2i+1)*(8*j+7). His reference series is shown at A055039
.

the chart below relates to A044075

However, unlike the above series, there are ones above that do not apeear below...those are quantified at A124169

^{2} |
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It can also be stated that for each missing number, other missing spheres can be determined. Add or subtract any whole number to any missing number and it results in a predictable, no sphere count at that same Z level for root numbers above and below that missing number. For example, 94 is a missing number. First, that means that no spheres exist at any of the various Z levels. Second, that means that root 93, and 95 have no spheres at the 1 Z level...and root 92 and 96 have no spheres at the 2 Z level...and root 91 and 97 have none at the 3 Z level...etc.