A373606 Sum of the even-indexed digits in the primorial base representation (A049345) of n.

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

Links

Antti Karttunen, Table of n, a(n) for n = 0..16170

Index entries for sequences related to primorial base

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

Cf. A049345, A276150, A373605, A373607.

Sequence in context: A281543 A287476 A185317 * A008682 A112224 A058774

Adjacent sequences: A373603 A373604 A373605 * A373607 A373608 A373609

Keyword

nonn

Author

Antti Karttunen, Jun 18 2024

Status

approved