This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A356095 #12 Mar 10 2025 12:26:35 %S A356095 165,286,455,969,1771,4495,9139,12341,32509,176851,437989,657359, %T A356095 939929,3737581,9290431,21084251,26536591,39338069,44101441,61690919, %U A356095 92568571,112805879,289442201,381588019,439918931,495593039,711215371,815946449,1008077071,1103914379 %N A356095 Tetrahedral numbers which are products of three distinct primes. %C A356095 A squarefree subsequence of tetrahedral numbers T(n) = C(n+2,3) = n*(n+1)*(n+2)/6. %e A356095 165 = 9*10*11/6 = 3*5*11 %e A356095 286 = 11*12*13/6 = 2*11*13 %e A356095 455 = 13*14*15/6 = 5*7*13 %e A356095 9139 = 37*38*39/6 = 13*19*37 %t A356095 Select[Table[n*(n + 1)*(n + 2)/6, {n, 1, 2000}], FactorInteger[#][[;; , 2]] == {1, 1, 1} &] (* _Amiram Eldar_, Jul 26 2022 *) %Y A356095 Intersection of A000292 and A007304. %Y A356095 Subsequence of A070755. %K A356095 nonn %O A356095 1,1 %A A356095 _Massimo Kofler_, Jul 26 2022