A385917 Hexagonal numbers that are one-sixth of another hexagonal number.

0, 1, 10296, 98862891, 949281469786, 9115000574022981, 87522234562487194476, 840388487154001467336271, 8069410166130487526875680366, 77482475574796454079058815538761, 743986722399785385936635219927503456, 7143760431000263700967117302685072646451, 68594386914477809656900874403746847623719746

Offset: 1

Author

Kelvin Voskuijl, Jul 12 2025

Keywords

• nonn

Examples

			10296 is a term because both 10296 and 6 * 10296 are hexagonal numbers.
		

Links

• Paolo Xausa, Table of n, a(n) for n = 1..250
• Index entries for linear recurrences with constant coefficients, signature (9603,-9603,1).

Crossrefs

Cf. A000384, A016813, A077289.

Programs

Mathematica

LinearRecurrence[{9603, -9603, 1}, {0, 1, 10296, 98862891}, 15] (* Paolo Xausa, Jul 28 2025 *)

Formula

a(n) = A077289(A016813(n)) for n > 1.