Lucas numbers whose sum of digits sets a new record

[Jonathan Post]

Dear Parthasarathy Nambi and Shyam Sunder Gupta,

Perhaps one of you (or someone else in seqfans) would like to extend
and submit as coauthored by us the analogue connecting:

A068500  Sequence of Fibonacci numbers whose sum of digits sets a new record.

A139374  Digit sum of Lucas numbers.
[which should be extended anyway]

This would be, and begins (I think):

Lucas numbers whose sum of digits sets a new record.

2, 3, 4, 7, 18, 29, 76, 199, 5778, 167761, 1149851, 1860498, 4870847, 7881196

Records in A007953(A000032(n)).

The digit sums begin:
2, 3, 4, 7, 9, 11, 13, 19, 27, 28, 29, 36, 38, 40

nonn, base

Cf. A000032, A004090, A007953, A068500, A139374