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A237056 Ludic and non-ludic numbers interleaved. 5

%I #13 Dec 10 2021 07:24:03

%S 1,4,2,6,3,8,5,9,7,10,11,12,13,14,17,15,23,16,25,18,29,19,37,20,41,21,

%T 43,22,47,24,53,26,61,27,67,28,71,30,77,31,83,32,89,33,91,34,97,35,

%U 107,36,115,38,119,39,121,40,127,42,131,44,143,45,149,46,157

%N Ludic and non-ludic numbers interleaved.

%C a(2*n-1) = A003309(n); a(2*n) = A192607(n);

%C integer permutation with inverse A237058.

%H Reinhard Zumkeller, <a href="/A237056/b237056.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%t a3309[nmax_] := a3309[nmax] = Module[{t = Range[2, nmax], k, r = {1}}, While[Length[t] > 0, k = First[t]; AppendTo[r, k]; t = Drop[t, {1, -1, k}]]; r];

%t nmax = 1000;

%t Riffle[a3309[nmax], Complement[Range[nmax], a3309[nmax]]] (* _Jean-François Alcover_, Dec 10 2021, after _Ray Chandler_ in A003309 *)

%o (Haskell)

%o import Data.List (transpose)

%o a237056 n = a237056_list !! (n-1)

%o a237056_list = concat $ transpose [a003309_list, a192607_list]

%Y Cf. A073846.

%K nonn

%O 1,2

%A _Antti Karttunen_ and _Reinhard Zumkeller_, Feb 04 2014

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Last modified April 24 05:36 EDT 2024. Contains 371918 sequences. (Running on oeis4.)