login
A362265
Indices m for which A362363(m) = 0, meaning the large spiral point in A362249 falls on the East base spiral.
2
1, 2, 5, 6, 7, 9, 12, 15, 17, 18, 19, 20, 21, 23, 25, 27, 28, 30, 35, 37, 39, 40, 41, 42, 43, 45, 47, 49, 51, 52, 54, 56, 61, 63, 65, 67, 68, 69, 70, 71, 72, 73, 75, 77, 79, 81, 83, 86, 88, 90, 97, 99, 101, 103, 105, 106, 107, 108, 109, 110, 111, 113, 115, 117, 119, 121, 123, 125, 126, 128, 130
OFFSET
1,2
COMMENTS
If m is a term then further terms can be found by writing m = s^2 + r such that s^2 is the square closest to m (and r is positive or negative). Then further terms are k = (t*s)^2 + t*r for odd t (but only sometimes even t).
LINKS
Thomas Scheuerle, Spiral of dots. Each dot corresponds to a spiral from A362249. If this spiral meets with spiral "E", the color is blue. Other colors: "S" = orange, "W" = yellow, "N" = violet. Spirals where n in A362249 is an even square number are located on the x axis extending from the midpoint to the right. The odd square numbers extend to the left.
FORMULA
All numbers of the form (2*k+1)^2 will be found inside this sequence but not (2*k)^2.
All numbers of the form 4^k+2^k, 4*k^2+k and k > 0, 9*(2*k+1)^2-4*k-2, 9*k^2+3*k and k > 0, 16*(2*k+1)^2+2*k+1 will be found inside this sequence.
EXAMPLE
6 is a term since in A362249, its n=6 large spiral point 6 falls on its East base spiral.
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved