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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.
1
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
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
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jul 20 2024
STATUS
approved