A362265 Indices m for which A362363(m) = 0, meaning the large spiral point in A362249 falls on the East base spiral.

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

Author

Tamas Sandor Nagy and Thomas Scheuerle, Apr 13 2023

Keywords

• nonn

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).

Examples

			6 is a term since in A362249, its n=6 large spiral point 6 falls on its East base spiral.
		

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.

Crossrefs

Cf. A362249, A000290, A001844, A002061.

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.