A334010 a(n) is the least integer that can be expressed as the sum of one or more consecutive nonzero hexagonal numbers in exactly n ways.

1, 703, 274550, 11132303325

Offset: 1

Author

Ilya Gutkovskiy, Apr 12 2020

Keywords

• nonn
• hard
• more

Examples

			Let S(k, m) denote the sum of m hexagonal numbers starting from the k-th. We have
a(1) = S(1, 1);
a(2) = S(19, 1) = S(13, 2);
a(3) = S(62, 25) = S(184, 4) = S(25, 51);
a(4) = S(3065, 505) = S(22490, 11) = S(1215, 1430) = S(1938, 946).
		

Links

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

Crossrefs

Cf. A000384, A054859, A068314, A186337, A298467, A319185, A334007, A334008, A334011, A334012.

Extensions

a(4) from Giovanni Resta, Apr 13 2020