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.
%I A209249 #12 Feb 16 2025 08:33:16 %S A209249 2,6,8,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52, %T A209249 56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,92,94,96,100,102, %U A209249 106,108,110,112,114,116,118,120,124,128,130,132,134,136,138 %N A209249 Even numbers that are not the sum of two untouchable numbers. %C A209249 It appears that this sequence has 118 terms, the last of which is 490. All even numbers from 492 to 10^7 are the sum of two untouchable numbers. %H A209249 Donovan Johnson, <a href="/A209249/b209249.txt">Table of n, a(n) for n = 1..118</a> %H A209249 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/UntouchableNumber.html">Untouchable Number.</a> %H A209249 Wikipedia, <a href="http://en.wikipedia.org/wiki/Untouchable_number">Untouchable number</a> %e A209249 90 is not a term because it is the sum of two untouchable numbers (2 + 88). 92 is a term because no two untouchable numbers sum to 92. %o A209249 (PARI) mx=10000; v=vector(mx); w=vector(mx); un=vector(1212); for(i=669, 1229, v[prime(i)+1]=1); for(i=2, 24989857, al=sigma(i)-i; if(al<=mx, v[al]=1)); c=0; for(i=2, mx, if(v[i]==0, c++; un[c]=i)); for(i=1, 1212, for(j=i, 1212, s=un[i]+un[j]; if(s<=mx, w[s]=1, next(2)))); n=0; forstep(i=2, mx, 2, if(w[i]==0, n++; write("b209249.txt", n " " i))) %Y A209249 Cf. A005114. %K A209249 nonn %O A209249 1,1 %A A209249 _Donovan Johnson_, Jan 13 2013