OFFSET
1,1
COMMENTS
The positions reflect radii which are a unique sum of two and only two distinct nonzero square integers.
The positions are a bit less frequent in occurrence than the positions where the first differences equal 2 because when the radius changes from exactly an integer value k to the open interval (k,k+1), the number of edge squares increase by 2, while in the reverse case, an increase from the open interval (k,k+1) to exactly k+1, the number of edge squares stays the same rather than decreasing by 2 as occurs in cases when the radii are a sum of two and only two distinct nonzero square integers. This is in contrast to positions where the first difference of A234300 equals 1 which are exactly balanced by positions which equal -1.
LINKS
Rajan Murthy, Table of n, a(n) for n = 1..1533
EXAMPLE
a(1) = 8 which corresponds to the transition of the square radius from the interval (4,5) to 5 = 1^2 + 2^2.
a(2) = 14 which corresponds to the transition from (9,10) to 10 = 1^2 + 3^2.
CROSSREFS
KEYWORD
nonn
AUTHOR
Rajan Murthy, Jan 03 2014
STATUS
approved