A166259 Positive integers n such that a centered polygonal number n*k*(k+1)/2+1 is not a square for any k > 0.

2, 18, 32, 50, 72, 98, 128, 162, 200, 242, 338, 392, 450, 512, 578, 648, 722, 882, 968, 1058, 1152, 1250, 1352, 1458, 1682, 1800, 1922, 2048, 2178, 2312, 2401, 2450, 2662, 2738, 2809, 2888, 3042, 3174, 3200, 3362, 3528, 3698, 3750, 4050, 4225, 4232, 4418, 4489, 4608, 4802

Offset

1,1

Comments

Positive integers n such that A120744(n) = -1.

Links

Table of n, a(n) for n=1..50.

Eric Weisstein's World of Mathematics, Centered Polygonal Number.

Crossrefs

Cf. A120744, A001542, A006451, A001921, A129444, A001570, A001652, A129556, A053606, A105038, A105040, A053141, A061278.

Sequence in context: A101844 A193598 A190047 * A073213 A086490 A085876

Adjacent sequences: A166256 A166257 A166258 * A166260 A166261 A166262

Keyword

nonn

Author

Alexander Adamchuk, Oct 10 2009

Extensions

Edited and extended by Max Alekseyev, Jan 20 2010

Status

approved