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