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%I #9 Nov 06 2017 04:32:43
%S 1,2,3,4,5,6,10,7,8,9,14,11,12,13,15,21,19,16,17,18,20,27,25,22,23,24,
%T 26,28,36,34,32,29,30,31,33,35,45,44,42,40,37,38,39,41,43,55,54,53,51,
%U 49,46,47,48,50,52,65,64,63,61,59,56,57,58,60,62,66,78,76,75
%N Inverse permutation of A195184; every positive integer occurs exactly once.
%H G. C. Greubel, <a href="/A195185/b195185.txt">Table of n, a(n) for n = 1..1000</a>
%t p[n_] := If[PrimeQ[n], n, 1]
%t Table[p[n], {n, 1, 90}] (* A089026 *)
%t g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]]
%t f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]]
%t f[20] (* A195183 *)
%t row[n_] := Position[f[30], n];
%t u = TableForm[Table[row[n], {n, 1, 5}]]
%t v[n_, k_] := Part[row[n], k];
%t w = Flatten[Table[v[k, n - k + 1], {n, 1, 13},
%t {k, 1, n}]] (* A195184 *)
%t q[n_] := Position[w, n]; Flatten[
%t Table[q[n], {n, 1, 80}]] (* A195185 *)
%Y Cf. A195183, A195184, A089026, A194959.
%K nonn
%O 1,2
%A _Clark Kimberling_, Sep 10 2011
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