A374132 The 2-adic valuation of A276085(n), where A276085 is the primorial base log-function.

0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 3, 2, 1, 0, 1, 3, 5, 0, 1, 0, 2, 0, 1, 5, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 4, 3, 1, 0, 3, 0, 4, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 4, 2, 0, 1, 0, 1, 0, 1, 4, 4, 0, 1, 1, 3, 0, 1, 1, 2, 0, 3, 0, 1, 0, 2, 2, 4, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 3

Offset

2,8

Links

Antti Karttunen, Table of n, a(n) for n = 2..100000

Formula

a(n) = A007814(A276085(n)).

Prog

(PARI)
A276085(n) = { my(f=factor(n)); sum(k=1, #f~, f[k, 2]*prod(i=1, primepi(f[k, 1]-1), prime(i))); };
A374132(n) = valuation(A276085(n), 2);

Crossrefs

Cf. A007814, A276085.

Cf. A036554 (indices of 0's), A003159 (of nonzero terms), A373142 (of 1's), A373267 (of 2's), A369002 (of terms >= 2), A373138 (of terms >= 3).

Cf. also A374133.

Sequence in context: A321090 A219026 A085097 * A117997 A079684 A358138

Adjacent sequences: A374129 A374130 A374131 * A374133 A374134 A374135

Keyword

nonn

Author

Antti Karttunen, Jun 30 2024

Status

approved