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 A328306 a(n) = 1 if k-th arithmetic derivative of A276086(n) is zero for some k, otherwise 0. 3
 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS a(n) = 1 if A276086(n) is in A099308, 0 otherwise. LINKS Antti Karttunen, Table of n, a(n) for n = 0..65537 FORMULA a(n) = A328308(A276086(n)). PROG (PARI) A003415checked(n) = if(n<=1, 0, my(f=factor(n), s=0); for(i=1, #f~, if(f[i, 2]>=f[i, 1], return(0), s += f[i, 2]/f[i, 1])); (n*s)); A276086(n) = { my(i=0, m=1, pr=1, nextpr); while((n>0), i=i+1; nextpr = prime(i)*pr; if((n%nextpr), m*=(prime(i)^((n%nextpr)/pr)); n-=(n%nextpr)); pr=nextpr); m; }; A328308(n) = if(!n, 1, while(n>1, n = A003415checked(n)); (n)); A328306(n) = A328308(A276086(n)); CROSSREFS Characteristic function of A328116. Cf. A003415, A099308, A276086, A328307 (partial sums), A328308. Sequence in context: A077010 A225817 A248863 * A267256 A071023 A166280 Adjacent sequences:  A328303 A328304 A328305 * A328307 A328308 A328309 KEYWORD nonn AUTHOR Antti Karttunen, Oct 12 2019 STATUS approved

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Last modified December 10 15:09 EST 2019. Contains 329896 sequences. (Running on oeis4.)