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.

A075815 Palindromic odd composite numbers with an odd number of prime factors (counted with multiplicity).

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%I A075815 #11 Jan 28 2021 12:24:50
%S A075815 99,171,333,343,363,555,575,595,747,777,909,969,1001,1221,1331,1551,
%T A075815 1771,3333,3553,5335,5445,5555,5665,5775,5885,5995,7337,7557,7667,
%U A075815 7777,7887,9009,9339,9559,9669,9779,9889,11211,11511,11711,11811,12121
%N A075815 Palindromic odd composite numbers with an odd number of prime factors (counted with multiplicity).
%H A075815 Harvey P. Dale, <a href="/A075815/b075815.txt">Table of n, a(n) for n = 1..1000</a>
%e A075815 5445=3^2*5*11^2 and 5555=5*11*101 are palindromic, odd, composite and have an odd number of prime factors.
%p A075815 test := proc(n) local d; d := convert(n,base,10); return ListTools[Reverse](d)=d and type(numtheory[bigomega](n),odd) and not isprime(n); end; a := []; for n from 1 to 13000 by 2 do if test(n) then a := [op(a),n]; end; od; a;
%t A075815 Select[Range[9,13000,2],PalindromeQ[#]&&CompositeQ[#]&&OddQ[ PrimeOmega[ #]]&] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Jan 28 2021 *)
%Y A075815 Cf. A046389.
%K A075815 nonn,base
%O A075815 1,1
%A A075815 _Jani Melik_, Oct 13 2002
%E A075815 Edited by _Dean Hickerson_, Oct 21 2002