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A342766 a(1) = 1, for any n > 1, a(n) = A342765(a(n-1), n).

%I A342766 #12 Apr 04 2021 06:22:28
%S A342766 1,2,3,6,10,10,14,28,42,42,66,66,78,78,78,156,204,204,228,228,228,228,
%T A342766 276,276,460,460,690,690,870,870,930,1860,1860,1860,1860,1860,2220,
%U A342766 2220,2220,2220,2460,2460,2580,2580,2580,2580,2820,2820,3948,3948,3948,3948
%N A342766 a(1) = 1, for any n > 1, a(n) = A342765(a(n-1), n).
%C A342766 This sequence has similarities with A087052.
%C A342766 This sequence is nondecreasing.
%C A342766 A new value is introduced at each power of prime (A000961).
%C A342766 The ordinal transform of the sequence is A276781.
%C A342766 The RUNS transform of the sequence is A057820.
%H A342766 Rémy Sigrist, <a href="/A342766/b342766.txt">Table of n, a(n) for n = 1..10000</a>
%H A342766 Rémy Sigrist, <a href="/A342766/a342766.gp.txt">PARI program for A342766</a>
%H A342766 <a href="/index/Di#dismal">Index entries for sequences related to dismal (or lunar) arithmetic</a>
%e A342766 The first terms, alongside their prime factorizations, are:
%e A342766   n   a(n)  n          a(n)
%e A342766   --  ----  ---------  ----------
%e A342766    1     1          1           1
%e A342766    2     2          2           2
%e A342766    3     3          3           3
%e A342766    4     6      2 * 2       2 * 3
%e A342766    5    10          5       2 * 5
%e A342766    6    10      2 * 3       2 * 5
%e A342766    7    14          7       2 * 7
%e A342766    8    28  2 * 2 * 2   2 * 2 * 7
%e A342766    9    42      3 * 3   2 * 3 * 7
%e A342766   10    42      2 * 5   2 * 3 * 7
%e A342766   11    66         11   2 * 3 * 11
%e A342766   12    66  2 * 2 * 3   2 * 3 * 11
%o A342766 (PARI) See Links section.
%Y A342766 Cf. A000961, A057820, A087052, A276781, A342765.
%K A342766 nonn
%O A342766 1,2
%A A342766 _Rémy Sigrist_, Apr 02 2021