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 A385333 #16 Jul 07 2025 00:41:11 %S A385333 1,21,38,51,122,163,689,919,2906,3875,5167,51617,68823,163137,290022, %T A385333 1629537,6866858,9155811,16276998,28936886,38582515,121939802, %U A385333 162586403,216781871,289042495,513853325,685137767,913517023,2165373685,12166489185,38452113969,121527668842 %N A385333 The numbers of people such that, in the variant of the Josephus problem in which three people are skipped and then one is eliminated, the last person is the last to be eliminated. %C A385333 This sequence can be used in magic tricks with under-under-under-down dealing pattern. The deck sizes in this sequence guarantee that after the dealing, the last card dealt is the one that was initially on the bottom. %e A385333 Suppose there are 5 people in a circle. After three people are skipped, the person number 4 is eliminated. The leftover people are 5,1,2,3 in order. Then person number 3 eliminated, and the leftover people are 5,1,2 in order. Then person number 5 is eliminated, and the leftover people are 1,2 in order. Then person number 2 is eliminated, and person 1 is freed. Thus, 5 is NOT in this sequence. %Y A385333 Cf. A088333, A384770, A384772, A384774, A385327. %Y A385333 Cf. A000225 (for skip 1 take 1), A182459 (for skip 2 take 1). %K A385333 nonn %O A385333 1,2 %A A385333 _Tanya Khovanova_, _Nathan Sheffield_, and the MIT PRIMES STEP junior group, Jun 25 2025 %E A385333 More terms from _Jinyuan Wang_, Jul 01 2025