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 A054241 #8 Jan 27 2022 08:05:00 %S A054241 1,1,1,2,2,3,4,7,2,4,3,7,9,16,16,31,5,7,12,19,11,15,30,45,29,47,57,97, %T A054241 77,118,162,257,5,12,7,19,29,57,47,97,11,30,15,45,77,162,118,257,109, %U A054241 189,189,339,323,522,589,975,323,589,522,975,1043,1752,1752 %N A054241 Number of partitions of bit-interleaved numbers; partitions of n in base sqrt(2). %C A054241 Rearrangement of A054225 via A054238. Also can be directly derived from A054240 (bit-interleaved addition table). %F A054241 a(n) = A054225(A054239(n)). - _Sean A. Irvine_, Jan 26 2022 %e A054241 a(6)=4 thus: {6, 4+2, 3+1, 2+1+1} all in base sqrt(2). %e A054241 From _Sean A. Irvine_, Jan 26 2022: (Start) %e A054241 a(12)=9 from {12, 9+1, 8+4, 8+1+1, 6+2, 4+2+2, 3+3, 3+2+1, 2+2+1+1}. %e A054241 a(13)=16 from {13, 12+1, 9+4, 9+1+1, 8+5, 8+4+1, 8+1+1+1, 7+2, 6+3, 6+2+1, 5+2+2, 4+3+2, 4+2+2+1, 3+3+1, 3+2+1+1, 2+2+1+1+1}. %e A054241 (End) %Y A054241 Cf. A054225, A054238, A054239, A054240. %K A054241 easy,nonn %O A054241 0,4 %A A054241 _Marc LeBrun_, Feb 07 2000 %E A054241 Data corrected by _Sean A. Irvine_, Jan 26 2022