A249367 Numbers of the form 2n^2 or 3n^2.

0, 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

1,2

Comments

Union of 2*A000290 = A001105 and 3*A000290 = A033428.

Essentially a duplicate of A249096.

Links

Table of n, a(n) for n=1..53.

Formula

{2, 3} * A000290 = A001105 U A033428.

Maple

N:= 10000: # to get all terms <= N
{seq(2*i^2, i=0..floor(sqrt(N/2)))} union {seq(3*i^2, i=0..floor(sqrt(N/3)))};
# if using Maple 11 or earlier, uncomment the following line:
# sort(convert(%, list));
# Robert Israel, Oct 27 2014

Prog

(PARI) for(n=0, 5000, if(issquare(n/3)||issquare(n/2), print1(n, ", "))) \\ Derek Orr, Oct 26 2014

Crossrefs

Cf. A000290, A001105, A033428.

A249096 is essentially the same sequence.

Sequence in context: A290153 A266629 A249096 * A257999 A350440 A115449

Adjacent sequences: A249364 A249365 A249366 * A249368 A249369 A249370

Keyword

nonn,easy

Author

M. F. Hasler, Oct 26 2014

Status

approved