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 A377456 #5 Oct 29 2024 12:33:07
%S A377456 39998374960,326660221888,520935101440,723006782783,923072388208,
%T A377456 977932351240,1134397887874,1351753892944,1864828904536,2171452161023
%N A377456 Starts of runs of 3 consecutive integers that are all terms of A377385.
%e A377456 39998374960 is a term since 39998374960, 39998374961 and 39998374962 are all in A377385: 39998374960/A034968(39998374960) = 999959374, and 999959374/A034968(999959374) = 32256754 are integers, 39998374961/A034968(39998374961) = 975570121, and 975570121/A034968(975570121) = 33640349 are integers, and 39998374962/A034968(39998374962) = 1025599358, and 1025599358/A034968(1025599358) = 30164687 are integers.
%o A377456 (PARI) fdigsum(n) = {my(k = n, m = 2, r, s = 0); while([k, r] = divrem(k, m); k != 0 || r != 0, s += r; m++); s;}
%o A377456 is1(k) = {my(f = fdigsum(k)); !(k % f) && !((k/f) % fdigsum(k/f));}
%o A377456 lista(kmax) = {my(q1 = is1(1), q2 = is1(2), q3); for(k = 3, kmax, q3 = is1(k); if(q1 && q2 && q3, print1(k-2, ", ")); q1 = q2; q2 = q3);}
%Y A377456 Cf. A034968.
%Y A377456 Subsequence of A118363, A328205, A377385 and A377455.
%Y A377456 Analogous sequences: A376794 (binary), A377273 (Zeckendorf).
%K A377456 nonn,base,more
%O A377456 1,1
%A A377456 _Amiram Eldar_, Oct 29 2024