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Triangular numbers that are the product of 2 palindromes greater than 1.
3

%I #7 May 13 2018 16:59:19

%S 6,10,15,21,28,36,45,55,66,231,528,666,1128,2016,2211,2628,2775,3003,

%T 3570,3916,4095,5995,6105,6216,6903,8646,21736,31878,34980,37950,

%U 43956,45753,52003,58653,65703,66066,73153,83028,89676,93528,116886

%N Triangular numbers that are the product of 2 palindromes greater than 1.

%H Harvey P. Dale, <a href="/A115744/b115744.txt">Table of n, a(n) for n = 1..83</a> (* All terms less than 1 million *)

%e 6903=T(117) and 6903=9*767.

%t Module[{upto=120000,pals},pals=Select[Range[2,upto/2],PalindromeQ];Select[ Times@@@Tuples[pals,2],OddQ[Sqrt[8#+1]]&&#<=upto&]]//Union (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, May 13 2018 *)

%Y Cf. A115683, A115743, A115745.

%K nonn,base

%O 1,1

%A _Giovanni Resta_, Jan 31 2006

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Last modified September 21 08:46 EDT 2024. Contains 376084 sequences. (Running on oeis4.)