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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A374133 The 3-adic valuation of A276085(n), where A276085 is the primorial base log-function. 7 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 3, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 3, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1 (list; graph; refs; listen; history; text; internal format) OFFSET 2,29 LINKS Antti Karttunen, Table of n, a(n) for n = 2..100000 FORMULA a(n) = A007949(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))); }; A374133(n) = valuation(A276085(n), 3); CROSSREFS Cf. A007949, A276085, A339746 (indices of nonzero terms), A372573 (their characteristic function). Cf. also A373153, A374132. Sequence in context: A051127 A070176 A092606 * A275948 A356325 A073253 Adjacent sequences: A374130 A374131 A374132 * A374134 A374135 A374136 KEYWORD nonn AUTHOR Antti Karttunen, Jun 30 2024 STATUS approved

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Last modified July 19 00:30 EDT 2024. Contains 374388 sequences. (Running on oeis4.)