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 A334636 #29 Nov 05 2024 18:52:44 %S A334636 1,2,4,8,16,31,59,110,202,366,653,1143,1961,3303,5480,8992,14647, %T A334636 23742,38334,61648,98700,157265,249397,393814,619611,971988,1521015, %U A334636 2374946,3700290,5751806,8916890,13780598,21220014,32540179,49668909,75435401 %N A334636 Number of different values of (x_n, x_1*x_2*...*x_n) where x_1=1 and x_i-x_{i-1} is 0 or 1. %o A334636 (Python) %o A334636 k=[{(1, 1)}] %o A334636 for i in range(20): %o A334636 k.append(set([(i[0]*i[1], i[1]) for i in k[-1]])|set([(i[0]*(i[1]+1), i[1]+1) for i in k[-1]])) %o A334636 [len(i) for i in k] %Y A334636 Cf. A095684, A284001, A334635. %K A334636 nonn,more %O A334636 1,2 %A A334636 _Jack Zhang_, Sep 10 2020 %E A334636 a(31)-a(36) from _Bert Dobbelaere_, Oct 19 2020