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 A366801 Arithmetic derivative without its inherited divisor applied to the Doudna sequence: a(n) = A342001(A005940(1+n)). 7
 0, 1, 1, 2, 1, 5, 2, 3, 1, 7, 8, 8, 2, 7, 3, 4, 1, 9, 10, 12, 12, 31, 13, 11, 2, 9, 11, 10, 3, 9, 4, 5, 1, 13, 14, 16, 16, 41, 17, 17, 18, 59, 71, 46, 19, 41, 18, 14, 2, 11, 13, 14, 17, 37, 16, 13, 3, 11, 14, 12, 4, 11, 5, 6, 1, 15, 16, 24, 18, 61, 25, 23, 20, 87, 103, 62, 27, 55, 24, 22, 24, 113, 131, 94, 167, 247 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Antti Karttunen, Table of n, a(n) for n = 0..16384 PROG (PARI) A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1])); A003557(n) = (n/factorback(factorint(n)[, 1])); A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); (t); }; A342001(n) = (A003415(n) / A003557(n)); A366801(n) = A342001(A005940(1+n)); CROSSREFS Cf. A003415, A005940, A342001, A344026, A366802 (rgs-transform). Cf. also A342002. Sequence in context: A162180 A090003 A136645 * A247498 A091381 A127156 Adjacent sequences: A366798 A366799 A366800 * A366802 A366803 A366804 KEYWORD nonn,look AUTHOR Antti Karttunen, Oct 24 2023 STATUS approved

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Last modified April 17 02:20 EDT 2024. Contains 371756 sequences. (Running on oeis4.)