A334012 a(n) is the least integer that can be expressed as the sum of one or more consecutive nonzero octagonal numbers in exactly n ways.

1, 1045, 5985

Offset: 1

Author

Ilya Gutkovskiy, Apr 12 2020

Keywords

• nonn
• hard
• more

Examples

			From _Seiichi Manyama_, May 16 2021: (Start)
Let S(k, m) denote the sum of m octagonal numbers starting from k*(3*k-2). We have
a(1) = S(1, 1);
a(2) = S(19, 1) = S(1, 10);
a(3) = S(45, 1) = S(11, 9) = S(1, 18). (End)
		

Links

• Eric Weisstein's World of Mathematics, Octagonal Number
• Index to sequences related to polygonal numbers

Crossrefs

Cf. A000567, A054859, A068314, A186337, A298467, A322637, A334007, A334008, A334010, A334011, A344376.