A139374 Digit sum of Lucas numbers.

2, 1, 3, 4, 7, 2, 9, 11, 11, 13, 6, 19, 7, 8, 15, 14, 11, 16, 27, 25, 16, 23, 21, 26, 20, 28, 21, 22, 25, 29, 36, 20, 38, 40, 24, 28, 34, 26, 33, 23, 38, 34, 54, 43, 52, 41, 30, 62, 47, 46, 39, 49, 43, 47, 45, 47, 47, 58, 33, 73, 43, 53, 33, 68, 56, 70, 45, 43

Offset: 0

Author

Parthasarathy Nambi, Jun 08 2008

Keywords

• nonn
• base

Examples

			15127 is the 20th Lucas number (A000032(20)) with digit sum 16, so a(20)=16.
		

Links

• Irene Sermon, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A000032, A004090, A007953.

Programs

Magma

[&+Intseq(Lucas(n)): n in [0..80]]; // Vincenzo Librandi, Jul 13 2015

Mathematica

Table[Total[IntegerDigits[LucasL[n]]], {n, 0, 100}] (* T. D. Noe, Oct 28 2013 *)

Formula

a(n) = A007953(A000032(n)). - Michel Marcus, Jul 13 2015