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Numbers whose digital sum in the primorial base is a multiple of 3.
3

%I #9 Jun 20 2024 16:57:51

%S 0,5,9,10,13,14,18,23,27,28,33,34,37,38,42,47,51,52,55,56,61,62,66,71,

%T 75,76,79,80,84,89,90,95,99,100,103,104,108,113,117,118,123,124,127,

%U 128,132,137,141,142,145,146,151,152,156,161,165,166,169,170,174,179,180,185,189,190,193,194,198,203,207,208

%N Numbers whose digital sum in the primorial base is a multiple of 3.

%C If x and y are terms and if A329041(x,y) = 1 (i.e., when adding x and y together will not generate any carries in the primorial base), then x+y is also a term.

%H Antti Karttunen, <a href="/A373841/b373841.txt">Table of n, a(n) for n = 1..12000</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%e A049345(47) = 1221, so A276150(47) = 6, therefore 47 is included in this sequence.

%o (PARI) isA373841 = A373840;

%Y Cf. A049345, A276150, A329041, A373839 (subsequence), A373840 (characteristic function).

%Y Cf. also A373831.

%K nonn,base

%O 1,2

%A _Antti Karttunen_, Jun 20 2024