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 A328116 Numbers n such that the k-th arithmetic derivative of A276086(n) is zero for some k. 11
 0, 1, 2, 3, 4, 5, 6, 7, 9, 12, 15, 20, 21, 28, 30, 31, 32, 33, 35, 37, 38, 40, 43, 46, 47, 49, 50, 60, 61, 65, 67, 68, 71, 73, 74, 76, 79, 84, 85, 87, 91, 97, 98, 104, 106, 112, 118, 119, 121, 129, 133, 134, 151, 153, 180, 183, 196, 207, 210, 211, 212, 213, 218, 220, 221, 223, 225, 226, 227, 228, 229, 231, 235, 239, 240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Numbers x such that A276086(x) [which is A351255(a(x))] is in A099308. LINKS Antti Karttunen, Table of n, a(n) for n = 1..10000 Antti Karttunen, First 105368 terms (from 0 to 9699690) FORMULA For all n >= 1, A328307(a(n)) = 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; }; isA099308(n) = { while(n>1, n = A003415checked(n)); (n); }; isA328116(n) = isA099308(A276086(n)); CROSSREFS Cf. A002110 (subsequence), A003415, A099308, A276086, A327969, A328306 (characteristic function), A328307 (its partial sums). Cf. A351255 [= A276086(a(n))], A351256 [= A328114(a(n))]. Sequence in context: A059759 A042952 A126327 * A193286 A098132 A017900 Adjacent sequences: A328113 A328114 A328115 * A328117 A328118 A328119 KEYWORD nonn AUTHOR Antti Karttunen, Oct 08 2019 STATUS approved

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Last modified December 9 17:12 EST 2022. Contains 358702 sequences. (Running on oeis4.)