A270298 Numbers which are representable as a sum of eight but no fewer consecutive nonnegative integers.

44, 52, 68, 76, 92, 116, 124, 148, 164, 172, 188, 212, 236, 244, 268, 284, 292, 316, 332, 356, 388, 404, 412, 428, 436, 452, 484, 508, 524, 548, 556, 572, 596, 604, 628, 652, 668, 676, 692, 716, 724, 748, 764, 772, 788, 796, 836, 844, 884, 892, 908, 916, 932

Offset: 1

Author

Martin Renner, Mar 14 2016

Keywords

• nonn

Examples

			36 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 11 + 12 + 13 (not in sequence);
44 = 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9;
52 = 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10;
68 = 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12.
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A008364, A138591, A270296, A270297, A270299, A270300, A270301, A270302, A270303.

Formula

A163169(a(n)) = 8. - Ray Chandler, Mar 22 2016

a(n) = 4*A008364(n+1). - Hugo Pfoertner, Feb 04 2021