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a(0) = 0 and for any n > 0, a(n) = A343040(a(n-1), n).
2

%I #10 Apr 08 2021 00:34:08

%S 0,1,3,3,5,5,11,11,11,11,11,11,17,17,17,17,17,17,23,23,23,23,23,23,47,

%T 47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,

%U 71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71

%N a(0) = 0 and for any n > 0, a(n) = A343040(a(n-1), n).

%C This sequence has similarities with A087052.

%C If we remove duplicate terms, then we obtain A200748.

%C The value A200748(k) appears A130493(k) times for any k > 0.

%H Rémy Sigrist, <a href="/A343041/b343041.txt">Table of n, a(n) for n = 0..5039</a>

%H Rémy Sigrist, <a href="/A343041/a343041.gp.txt">PARI program for A343041</a>

%H <a href="/index/Di#dismal">Index entries for sequences related to dismal (or lunar) arithmetic</a>

%H <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>

%e The first terms, in decimal and in factorial base, are:

%e n a(n) fact(n) fact(a(n))

%e -- ---- ------- ----------

%e 0 0 0 0

%e 1 1 1 1

%e 2 3 10 11

%e 3 3 11 11

%e 4 5 20 21

%e 5 5 21 21

%e 6 11 100 121

%e 7 11 101 121

%e 8 11 110 121

%e 9 11 111 121

%e 10 11 120 121

%e 11 11 121 121

%e 12 17 200 221

%e 13 17 201 221

%e 14 17 210 221

%o (PARI) See Links section.

%Y Cf. A087052, A130493, A200748, A343040, A343045.

%K nonn,base

%O 0,3

%A _Rémy Sigrist_, Apr 03 2021