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 A263578 #15 Nov 25 2015 02:30:52 %S A263578 1,3,18,24,42,48,72,96,120,138,144,192,216,240,258,264,282,288,336, %T A263578 360,384,402,432,480,498,576,600,618,642,648,672,714,720,744,762,768, %U A263578 864,912,960,978,1002,1008,1080,1104,1152,1200,1224,1296,1320,1338,1344,1362 %N A263578 Positive values of k such that A014286(k) is divisible by k. %C A263578 Sequence is interesting because of the values of a(n) - a(n-1). For a(n) < 10000, the most common repeated values of a(n) - a(n-1) are 24 and 6. Will this situation continue? %e A263578 a(2) = 3 because Fibonacci(1) + 2 * Fibonacci(2) + 3 * Fibonacci(3) = 9, which is divisible by 3. %t A263578 Select[Range@ 1584, Divisible[Sum[i Fibonacci@ i, {i, 0, #}], #] &] (* _Michael De Vlieger_, Oct 22 2015 *) %o A263578 (PARI) for(n=1, 2000, if(sum(k=1, n, k*fibonacci(k)) % n == 0, print1(n, ", "))) %Y A263578 Cf. A000045, A014286. %K A263578 nonn,easy %O A263578 1,2 %A A263578 _Altug Alkan_, Oct 22 2015