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Concatenate subsequences 0, 1, 2, 4, ..., 2^k.
3

%I #23 Sep 30 2024 01:57:49

%S 0,0,1,0,1,2,0,1,2,4,0,1,2,4,8,0,1,2,4,8,16,0,1,2,4,8,16,32,0,1,2,4,8,

%T 16,32,64,0,1,2,4,8,16,32,64,128,0,1,2,4,8,16,32,64,128,256,0,1,2,4,8,

%U 16,32,64,128,256,512,0,1,2,4,8,16,32,64,128,256,512,1024

%N Concatenate subsequences 0, 1, 2, 4, ..., 2^k.

%C A sequence B is called a reluctant sequence of sequence A, if B is triangle array read by rows: row number k coincides with first k elements of the sequence A. Sequence A140531 is the reluctant sequence of A131577. - _Boris Putievskiy_, Dec 12 2012

%H Boris Putievskiy, <a href="http://arxiv.org/abs/1212.2732">Transformations Integer Sequences And Pairing Functions</a>, arXiv:1212.2732 [math.CO], 2012.

%F a(n) = floor(2^(n-2-t*(t+1)/2)), where t=floor((-1+sqrt(8*n-7))/2), n>=1. - _Boris Putievskiy_, Dec 13 2012

%Y Cf. A000079, A059268.

%K nonn,tabl

%O 0,6

%A _Paul Curtz_, Jul 03 2008