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A054241 Number of partitions of bit-interleaved numbers; partitions of n in base sqrt(2). 0

%I #8 Jan 27 2022 08:05:00

%S 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 77,118,162,257,5,12,7,19,29,57,47,97,11,30,15,45,77,162,118,257,109,

%U 189,189,339,323,522,589,975,323,589,522,975,1043,1752,1752

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

%C Rearrangement of A054225 via A054238. Also can be directly derived from A054240 (bit-interleaved addition table).

%F a(n) = A054225(A054239(n)). - _Sean A. Irvine_, Jan 26 2022

%e a(6)=4 thus: {6, 4+2, 3+1, 2+1+1} all in base sqrt(2).

%e From _Sean A. Irvine_, Jan 26 2022: (Start)

%e 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 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 (End)

%Y Cf. A054225, A054238, A054239, A054240.

%K easy,nonn

%O 0,4

%A _Marc LeBrun_, Feb 07 2000

%E Data corrected by _Sean A. Irvine_, Jan 26 2022

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Last modified July 19 16:24 EDT 2024. Contains 374410 sequences. (Running on oeis4.)