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

1,1

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).

Links

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

Example

{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, ...}

Mathematica

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

Crossrefs

Cf. A184808, A184809.

A249367 is essentially the same sequence.

Sequence in context: A002958 A290153 A266629 * A249367 A257999 A350440

Adjacent sequences: A249093 A249094 A249095 * A249097 A249098 A249099

Keyword

nonn,easy

Author

Clark Kimberling, Oct 20 2014

Status

approved