login
Lucas numbers which are the sum of three repdigits.
0

%I #19 Apr 17 2023 06:18:26

%S 3,4,7,11,18,29,47,76,123,199,322,521,843,5778

%N Lucas numbers which are the sum of three repdigits.

%C Subsequence of A000032, its terms L(2), L(3), ..., L(13), L(14), L(18).

%H Chéfiath A. Adegbindin and Alain Togbé, <a href="http://dx.doi.org/10.14712/1213-7243.2020.028">Can a Lucas number be a sum of three repdigits?</a>, Commentationes Mathematicae Universitatis Carolinae, Vol. 61 (2020), No. 3, 383-396.

%H Jhon J. Bravo and Jose L. Herrera, <a href="http://dx.doi.org/10.5817/AM2020-4-249">Repdigits in generalized Pell sequences</a>, Arch. Math. (Brno), Tomus 56 (2020), 249-262.

%e L(13) = 521: 521 = 333 + 111 + 77, so 521 is a term.

%e L(14) = 843: 843 = 666 + 111 + 66, so 843 is a term.

%Y Cf. A000032.

%K nonn,fini,full

%O 1,1

%A _Ctibor O. Zizka_, Dec 24 2022