login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A373831
Numbers whose primorial base representation has alternating digit sum that is a multiple of 3.
4
0, 3, 8, 11, 13, 16, 18, 21, 26, 29, 31, 34, 36, 39, 44, 47, 49, 52, 54, 57, 62, 65, 67, 70, 72, 75, 80, 83, 85, 88, 90, 93, 98, 101, 103, 106, 108, 111, 116, 119, 121, 124, 126, 129, 134, 137, 139, 142, 144, 147, 152, 155, 157, 160, 162, 165, 170, 173, 175, 178, 180, 183, 188, 191, 193, 196, 198, 201, 206, 209, 212
OFFSET
1,2
EXAMPLE
A049345(3) = 11, and the alternating digit sum is A373605(3) = 1-1 = 0, and as zero is a multiple of 3, 3 is included in this sequence.
A049345(193) = 6201, and the alternating digit sum is (1+2)-(0+6) = -3, thus 193 is included in this sequence.
PROG
(PARI) isA373831 = A373830;
CROSSREFS
Cf. A049345, A373605, A373830 (characteristic function).
Sequence in context: A243169 A366582 A051245 * A265897 A003157 A310281
KEYWORD
nonn,base
AUTHOR
Antti Karttunen, Jun 19 2024
STATUS
approved