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 A372050 #17 Apr 28 2024 11:53:20 %S A372050 2,3,5,7,8,12,14,18,24,28,35,41,46,54,60,68,78,89,97,107,116,128,138, %T A372050 150,164,176,191,205,218,234,248,264,282,298,317,335,352,372,390,410, %U A372050 432,452,475,497,518,542,564,588,614,638,665,691,716,744,770,798,828,856,887,917,946,978 %N A372050 The index of the largest Fibonacci number that divides the sum of Fibonacci numbers with indices 1 through A000217(n) (the n-th triangular number). %C A372050 When we divide the sum by the largest Fibonacci number that divides the sum, we always get a Lucas number. %e A372050 For example, the sum of the first ten Fibonacci numbers is 143. The largest Fibonacci that divides this sum is 13, the seventh Fibonacci number. Thus, as 10 is the fourth triangular number a(4) = 7. After the division we get 143/13 = 11, the fifth Lucas number. %Y A372050 Cf. A000032, A000045, A000071, A000217, A054494, A075850, A372048, A372049, A372051. %K A372050 nonn %O A372050 1,1 %A A372050 _Tanya Khovanova_ and MIT PRIMES STEP senior group, Apr 17 2024