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 A096974 #2 Mar 30 2012 17:27:43 %S A096974 1,2,3,5,8,9,11,12,13,20,21,24,25,32,33,36,37,44,45,54,55,56,57,60,61, %T A096974 72,73,80,81,83,84,85,92,93,104,105,116,117,120,121,130,131,132,133, %U A096974 140,141,144,145,156,157,164,165,176,177,192,193,200,201,204,205,212,213 %N A096974 Numbers n such that A096123(n) = n!/(nextprime(n/2)-1)!. %C A096974 Suggested by the apparently false conjecture (A. Murthy) that A096123(n) = n!/(nextprime(n/2)-1)! for all sufficiently large n. %C A096974 Observation: If n is an even term then n+1 is also a term. Odd terms n that are not preceded by term n-1 are very rare; only 1, 5, 11, 83, 455, 623, 839, 1139, 1199, 2039, 2459, 2579, 2639, 2855, 2975 have been found up to 3000. %e A096974 A096123(11) = 11!/(nextprime(11/2)-1)! = 11!/(6-1)! = 55440, hence 11 is a term. %o A096974 (PARI) {for(n=1,215,p=1;k=0;b=1;while(b&&k<n,p=p*(n-k);d=(n-k)!;if(p%d==0,b=0;if(p==n!/(nextprime(n/2)-1)!,print1(n,",")),k++)))} %Y A096974 Cf. A096123. %K A096974 nonn %O A096974 1,2 %A A096974 _Klaus Brockhaus_, Jul 17 2004