cp's OEIS Frontend

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.

A054241 Number of partitions of bit-interleaved numbers; partitions of n in base sqrt(2).

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%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