cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A073259 Number of iterations of f(n,k) = n+pi(k)+1 starting from f(n,n) until a fixed point is reached.

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%I A073259 #7 Nov 21 2024 20:18:33
%S A073259 4,4,4,3,3,4,4,3,3,4,4,4,3,4,4,3,3,3,4,4,4,3,3,3,4,4,3,4,5,4,3,4,4,4,
%T A073259 3,3,4,4,4,3,3,4,5,4,4,3,3,4,4,4,4,5,4,4,4,3,4,4,4,5,4,4,4,3,4,4,4,4,
%U A073259 3,3,3,4,4,4,4,5,4,4,5,5,4,4,5,4,4,4,4,4,3,3,3,3,3,3,3,4,4,4,5,4,4,4,3,4,5
%N A073259 Number of iterations of f(n,k) = n+pi(k)+1 starting from f(n,n) until a fixed point is reached.
%C A073259 Original name: Length of FixedPointList leading to value of n-th composite number.
%F A073259 See program below.
%e A073259 n=1000000:the list={1000000,1078499,1084157,1084577,1084604,1084605}, its length including initial term is 6, while composite[1000000]=1084605.
%t A073259 Table[Length[FixedPointList[w+PrimePi[ # ]+1&, w]]-1, {w, 1, 128}]
%Y A073259 Cf. A000720, A064814, A002808, A073255-A073264.
%K A073259 nonn
%O A073259 1,1
%A A073259 _Labos Elemer_, Jul 22 2002
%E A073259 Name clarified by _Sean A. Irvine_, Nov 21 2024