A249096 {2*h^2, h >=1} union {3*k^2, k >=1}, in increasing order.

2, 3, 8, 12, 18, 27, 32, 48, 50, 72, 75, 98, 108, 128, 147, 162, 192, 200, 242, 243, 288, 300, 338, 363, 392, 432, 450, 507, 512, 578, 588, 648, 675, 722, 768, 800, 867, 882, 968, 972, 1058, 1083, 1152, 1200, 1250, 1323, 1352, 1452, 1458, 1568, 1587, 1682

Offset: 1

Author

Clark Kimberling, Oct 20 2014

Keywords

• nonn
• easy

Comments

Let S = {2*h^2, h >=1} and T = {3*k^2, k >=1}. Then S and T are disjoint. The position of 2*n^2 in (S union T) is A184808(n), and the position of 3*n^2 is A184809(n).

Examples

			{2*h^2, h >=1} = {2, 8, 18, 32, 50, 72, 98, 128, 162, 200, ...};
{3*k^2, k >=1} = {3, 12, 27, 48, 75, 108, 147, 192, 243, ...};
so the union is {2, 3, 8, 12, 18, 27, 32, 48, 50, 72, 75, ...}
		

Links

• Clark Kimberling, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A184808, A184809.

A249367 is essentially the same sequence.

Programs

Mathematica

z = 120; s = Table[2 h^2, {h, 1, z}]; t = Table[3 k^2, {k, 1, z}]; v = Sort[Union[s, t]]