A302438 Numbers with digits in nondecreasing order and even digital sum (in base 10) whose digits can be partitioned in two multisets with equal digital sum.

11, 22, 33, 44, 55, 66, 77, 88, 99, 112, 123, 134, 145, 156, 167, 178, 189, 224, 235, 246, 257, 268, 279, 336, 347, 358, 369, 448, 459, 1111, 1113, 1122, 1124, 1133, 1135, 1144, 1146, 1155, 1157, 1166, 1168, 1177, 1179, 1188, 1199, 1223, 1225, 1234, 1236, 1245, 1247

Offset: 1

Author

David A. Corneth, Apr 08 2018

Keywords

• nonn
• easy
• base

Examples

			a(5000) = 11222699 is in this sequence as it has digits in nondecreasing order and an even digital sum, which is 32. The digits can be partitioned in two multisets with equal sum, for example as {1, 6, 9} and {1, 2, 2, 2, 9}, each having sum 16.
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..11671
• David A. Corneth, PARI prog

Crossrefs

Cf. A009994, A054683.

Programs

PARI

\\ See PARI link.