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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.

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%I A374809 #5 Feb 16 2025 08:34:07
%S A374809 35,115,260,315,760,705,1310,1824,2365,1915,2475,3335,6240,4645,7735,
%T A374809 8455,12120,11505,15440,13026,17325,20020,24125,25575,26400,32935,
%U A374809 34440,36575,40040,37180,44265,50400,55100,60060,56560,59160,60620
%N 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.
%H A374809 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TetrahedralNumber.html">Tetrahedral Number</a>
%e A374809 a(3) = 260 = 1 + 4 + 35 + 220 = 1 + 10 + 84 + 165 = 4 + 35 + 56 + 165.
%Y A374809 Cf. A000292, A334013, A374807, A374808.
%K A374809 nonn
%O A374809 1,1
%A A374809 _Ilya Gutkovskiy_, Jul 20 2024