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

1,1

Links

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

David A. Corneth, PARI prog

Example

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.

Prog

(PARI) \\ See PARI link.

Crossrefs

Cf. A009994, A054683.

Sequence in context: A239019 A033023 A014181 * A068900 A083852 A306689

Adjacent sequences: A302435 A302436 A302437 * A302439 A302440 A302441

Keyword

nonn,easy,base

Author

David A. Corneth, Apr 08 2018

Status

approved