A374809 a(n) is the smallest number which can be represented as the sum of 4 distinct nonzero tetrahedral numbers in exactly n ways, or -1 if no such number exists.

35, 115, 260, 315, 760, 705, 1310, 1824, 2365, 1915, 2475, 3335, 6240, 4645, 7735, 8455, 12120, 11505, 15440, 13026, 17325, 20020, 24125, 25575, 26400, 32935, 34440, 36575, 40040, 37180, 44265, 50400, 55100, 60060, 56560, 59160, 60620

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Eric Weisstein's World of Mathematics, Tetrahedral Number

Example

a(3) = 260 = 1 + 4 + 35 + 220 = 1 + 10 + 84 + 165 = 4 + 35 + 56 + 165.

Crossrefs

Cf. A000292, A334013, A374807, A374808.

Sequence in context: A110832 A251269 A268118 * A212888 A044286 A044667

Adjacent sequences: A374806 A374807 A374808 * A374811 A374812 A374813

Keyword

nonn,new

Author

Ilya Gutkovskiy, Jul 20 2024

Status

approved