cp's OEIS Frontend

A330027 a(0) = 0; for n > 0, a(n) is the total number of repeated strings in the concatenation of terms a(0) to a(n-1). Repeated strings can overlap.

%I A330027 #9 Jan 05 2020 11:30:28
%S A330027 0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,12,16,18,20,22,25,28,30,
%T A330027 32,34,38,40,42,44,47,50,52,55,59,62,64,66,69,72,74,76,79,82,85,88,91,
%U A330027 96,99,103,112,118,125,130,134,140,144,150,155,161,168,173,177,183,188,194,199,205,210
%N A330027 a(0) = 0; for n > 0, a(n) is the total number of repeated strings in the concatenation of terms a(0) to a(n-1). Repeated strings can overlap.
%C A330027 This sequence uses the same rule as A330015 but, instead of the count of unique repeated strings, here the total number of repeated strings seen in the concatenation of a(0) to a(n-1) forms the next term. After a(19) all single digits have been seen, so from that entry all new terms increase the previous term by at least the number of digits in the previous term. In this sequence repeated strings can be overlapping, thus a new entry '444' would add at least two to the total repeated count if '44' was already in the sequence, or at least one otherwise as '444' contains a repeat of '44' itself.
%e A330027 a(4) = 2 as both '0' and '1' have repeated in the terms a(0) to a(3).
%e A330027 a(21) = 12, as a(11) = 10 which added another appearance of '0' and '1', so the total repeated string count incremented by two.
%e A330027 a(22) = 16, as a(21) = 12 which added another appearance of '1','2','12','01', so the total repeated string count incremented by four.
%Y A330027 Cf. A225224, A329818, A329448, A330015, A327036.
%K A330027 nonn,base
%O A330027 0,5
%A A330027 _Scott R. Shannon_, Nov 27 2019