cp's OEIS Frontend

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.

A161730 Palindromic numbers that are fixed points of the TITO operation (see A161594) and are not products of palindromic primes.

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%I A161730 #10 Feb 02 2018 02:36:06
%S A161730 72927,76167,434434,868868,1226221,4778774,5703075,8755578,9386839,
%T A161730 13488431,43877834,123848321,564414465,777555777,1072772701,
%U A161730 1946776491,9935115399,12467976421,52854045825,74663436647,83361616338,95829592859
%N A161730 Palindromic numbers that are fixed points of the TITO operation (see A161594) and are not products of palindromic primes.
%C A161730 The numbers in this sequence are palindromic numbers that are fixed points of the TITO operation and are not primes and are not in A046351.
%H A161730 M. F. Hasler, <a href="/A161730/b161730.txt">Table of n, a(n) for n = 1..35</a>. [From _M. F. Hasler_, Jun 25 2009]
%H A161730 T. Khovanova, <a href="http://blog.tanyakhovanova.com/?p=144">Turning Numbers Inside Out</a> [From _Tanya Khovanova_, Jul 07 2009]
%t A161730 reversepower[{n_, k_}] := FromDigits[Reverse[IntegerDigits[n]]]^k f[n_] := FromDigits[ Reverse[IntegerDigits[Times @@ Map[reversepower, FactorInteger[n]]]]] rev[n_] := FromDigits[Reverse[IntegerDigits[n]]] Select[Range[5000000], rev[ # ] == # && ! PrimeQ[ # ] && f[ # ] == # && Map[rev, Transpose[FactorInteger[ # ]][[1]]] != Transpose[FactorInteger[ # ]][[1]] &]
%o A161730 (PARI) for( d=1,19, my(p=10^((d+1)\2),q=10^(d%2)); for( i=p\10,p-1, my(n = i\q*p+R(i),f); A161594(n)==n || next; apply(R,f=factor(n)[,1])==f && next; print1(n",") )) /* uses definitions given in A161594 */ \\ _M. F. Hasler_, Jun 25 2009
%Y A161730 Cf. A161594, A161597, A161598, A161600.
%K A161730 base,nonn
%O A161730 1,1
%A A161730 _Tanya Khovanova_, Jun 17 2009
%E A161730 Edited by _N. J. A. Sloane_, Jun 23 2009
%E A161730 Terms beyond a(6) from _M. F. Hasler_, Jun 25 2009