A360217 a(n) is the smallest positive integer which can be represented as the sum of n distinct nonzero tetrahedral numbers in exactly n ways, or -1 if no such integer exists.

1, 140, 305, 315, 435, 644, 830, 1141, 1425, 1925, 2380, 3010, 3805, 4720, 5806, 7095, 8510, 10200, 12020, 14115, 16460, 19131, 21990, 25425, 29275, 33495, 37425, 42680, 48300, 54545, 60711, 68391, 75726, 84815, 93370, 103250, 114115, 125360, 137831, 150995, 165545, 179830

Offset: 1

Author

Ilya Gutkovskiy, Jan 30 2023

Keywords

• nonn

Examples

			For n = 3: 305 = 1 + 84 + 220 = 20 + 120 + 165 = 56 + 84 + 165.
		

Links

• Eric Weisstein's World of Mathematics, Tetrahedral Number

Crossrefs

Cf. A000292, A350205, A350288, A350397, A360218.

Extensions

More terms from David A. Corneth, Jan 30 2023