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A066757
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Pentagonal numbers not divisible by 10 whose reverse is triangular.
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0
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0, 1, 12, 51, 18426, 69876, 6168162, 12105501, 17759001, 3008521945, 100938635992, 826471253301, 3044088035830227, 5889438558016867, 55959294872171901
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OFFSET
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1,3
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LINKS
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EXAMPLE
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51 is pentagonal and 15 is triangular
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MATHEMATICA
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dtn[L_] := Fold[10#1+#2&, 0, L] tritest[n_] := Module[{t}, t=Floor[N[Sqrt[2n]]]; 2n==t(t+1)] A={0}; For[i=1, i>0, i++, t=i(3i-1)/2; r=dtn[Reverse[IntegerDigits[t]]]; If[tritest[r]&&Mod[t, 10]>0, AppendTo[A, t]; Print[A]]]
Select[Table[(n(3n-1))/2, {n, 0, 194*10^6}], Mod[IntegerReverse[#], 10]!=0&&OddQ[Sqrt[8IntegerReverse[#]+1]]&] (* Requires Mathematica version 10 or later *) (* The program will take a long time to run *) (* Harvey P. Dale, Sep 12 2017 *)
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CROSSREFS
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KEYWORD
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base,more,nonn
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AUTHOR
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EXTENSIONS
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Description clarified and offset corrected by Lars Blomberg, May 29 2011
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STATUS
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approved
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