A118236 Numbers that can be written as sums of at least two distinct but overlapping sets of consecutive numbers.

9, 15, 18, 21, 30, 35, 42, 45, 50, 55, 60, 63, 65, 70, 75, 77, 81, 84, 90, 91, 99, 105, 108, 117, 119, 126, 132, 133, 135, 140, 143, 147, 150, 153, 154, 156, 162, 165, 171, 175, 180, 187, 189, 195, 196, 198, 207, 209, 210, 216, 220, 221, 225, 231, 234, 245, 247

Offset: 1

Author

Reinhard Zumkeller, Apr 18 2006

Keywords

• nonn

Comments

A001227(a(n)) > 2.

Complement of A328369. - Omar E. Pol, Nov 19 2019

Examples

			30 = 4+5+(6+7+8) = (6+7+8)+9 with common summands = {6,7,8}, therefore 30 is a term.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A328369.

Programs

Mathematica

Position[#, ?(# > 0 &)][[All, 1]] &@ Array[Count[Tally@ Flatten@ Select[IntegerPartitions[#], Union@ Differences@ # == {-1} &], ?(Last@ # > 1 &)] &, 60] (* Michael De Vlieger, Nov 22 2019 *)