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%I #19 Sep 15 2020 06:34:46
%S 1,3,4,5,6,8,9,10,12,13,14,15,17,18,20,21,22,23,25,26,27,29,30,31,32,
%T 33,35,36,37,38,40,41,42,44,45,46,47,48,50,51,52,53,55,56,57,59,60,61,
%U 62,64,65,67,68,69,70,72,73,74,76,77,78,79,80,82,83,84,85
%N Partial sums of A293630.
%C a(n) is n plus the number of 2's in A293630 on the interval 1..n.
%H Iain Fox, <a href="/A298606/b298606.txt">Table of n, a(n) for n = 1..10369</a>
%F a(A291481(n)) = A298590(n).
%F Lim_{k->infinity} a(k)/k = 1.275261... (see A296564).
%F a(n) ~ d*n, where d = 1.275261... (see A296564).
%e A293630 begins 1, 2, 1, 1, 1, 2, 1, 1, 2, ... so:
%e a(1) = 1.
%e a(2) = 1 + 2 = 3.
%e a(3) = 1 + 2 + 1 = 4.
%e a(4) = 1 + 2 + 1 + 1 = 5.
%e ...
%t Accumulate@ Nest[Join @@ {#, Join @@ ConstantArray[Most@ #, Last@ #]} &, {1, 2}, 5] (* _Michael De Vlieger_, Jan 22 2018 *)
%o (PARI) lista(nn) = my(v=[1, 2], l, w, s=0); for(n=1, nn, l=length(v); w=vector(l-1, i, v[i]); v=concat(v, if(v[l]-1, concat(w, w), w))); for(i=1, length(v), s += v[i]; print1(s, ", "))
%Y Cf. A291481, A293630, A296564, A298590.
%K nonn
%O 1,2
%A _Iain Fox_, Jan 22 2018
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