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A373606
Sum of the even-indexed digits in the primorial base representation (A049345) of n.
4
0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 5, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 5, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 5, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 3, 2, 3
OFFSET
0,8
FORMULA
a(n) = A276150(n) - A373607(n).
a(n) = A373605(n) + A373607(n).
EXAMPLE
A049345(85) = 2401, and the sum of digits at even positions (with the rightmost position having index 0) is 1+4 = 5, thus a(85) = 5.
PROG
(PARI) A373606(n) = { my(p=2, i=1, s=0); while(n, if(i%2, s += (n%p)); n = n\p; p = nextprime(1+p); i = !i); (s); };
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 18 2024
STATUS
approved