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A250983 First differences of A094589. 3

%I #21 Mar 29 2015 13:44:17

%S 1,2,2,4,4,6,6,6,6,10,10,10,10,14,14,14,14,14,14,20,20,20,20,20,20,26,

%T 26,26,26,26,26,32,32,32,32,32,32,38,38,38,38,38,38,38,38,38,38,48,48,

%U 48,48,48,48,48,48,48,48,58,58,58,58,58,58,58,58,58,58

%N First differences of A094589.

%C Also, a Golomb-type sequence over A094589, i.e., a sequence obtained from A094589 by repeating each term a certain number of times so that the succession of run lengths of the resulting sequence is again that same sequence.

%C Has the property of idempotence: a(a(n))=a(n).

%H Ivan Neretin, <a href="/A250983/b250983.txt">Table of n, a(n) for n = 1..10000</a>

%t w = {1, 2, 2};

%t i = 3;

%t Do[

%t w = Join[w, Array[Length[w] + 1 &, w[[i++]]]];

%t , {n, 10}

%t ];

%t w

%o (PARI) flargest(va, n) = {vsa = vecsort(va,,12); for (k=1, #vsa, if (vsa[k] < n, return (vsa[k])););}

%o lista(nn) = {voa = [1]; for (n=2, nn, newoa = flargest(voa, n) + voa[n-1]; print1(newoa - voa[n-1], ", "); voa = concat(voa, newoa););} \\ _Michel Marcus_, Mar 24 2015

%Y Cf. A094589 (a(n) with repetitions removed), A001462 (Golomb's sequence), A013189 (Golomb's sequence over squares).

%K nonn,easy

%O 1,2

%A _Ivan Neretin_, Mar 20 2015

%E More terms from _Michel Marcus_, Mar 24 2015

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)