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A008510 Numbers k such that both k and the k-th triangular number are palindromes. 11

%I #14 Jul 14 2021 02:02:07

%S 1,2,3,11,77,363,1111,2662,111111,246642,11111111,363474363,

%T 2664444662,26644444662,246644446642,266444444662,2466444446642,

%U 3654345456545434563

%N Numbers k such that both k and the k-th triangular number are palindromes.

%D D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, 93.

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/subtria.htm">Subsets of palindromic triangulars</a>

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/beautiful.htm">For the last term</a>

%t palQ[n_] := Reverse[x = IntegerDigits[n]] == x; t = {}; Do[If[palQ[n] && palQ[n*(n + 1)/2], AppendTo[t, n]], {n, 1.2*10^7}]; t (* _Jayanta Basu_, May 15 2013 *)

%K nonn,base,more

%O 1,2

%A _Patrick De Geest_

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Last modified April 24 06:39 EDT 2024. Contains 371920 sequences. (Running on oeis4.)