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.
%I A141439 #13 Mar 05 2024 07:10:58 %S A141439 21,22,23,45,47,55,73,85,86,90,91,95,109,110,111,119,146,170,173,181, %T A141439 182,187,191,219,221,223,239,247,273,307,341,342,346,362,365,375,383, %U A141439 409,438,443,447,477,478,479,495,503,546,585,614,660,682,685,693,725 %N A141439 Positions at which disjoint pattern counts differ from overlapping pattern counts related to sequence A117127. %H A141439 Diana Mecum, <a href="/A141439/b141439.txt">Table of n, a(n) for n = 1..131</a> %e A141439 When "n" = 21, the base two concatenated range of integers from 1 to 21 is "1101110010111011110001001101010111100110111101111100001000110010100111010010101". 21 in base two is "10101". %e A141439 Note that there are two instances of "10101" in the concatenated number when disjoint patterns are considered. There are three pattern matches when overlapping patterns are considered. %t A141439 f[n_, k_] := StringCount[ ToString@ FromDigits@ Flatten@ IntegerDigits[ Range@n, 2], ToString@ FromDigits@ IntegerDigits[n, 2], Overlaps -> {True, False}[[k]]]; Select[ Range@ 725, f[ #, 1] != f[ #, 2] &] (* _Robert G. Wilson v_, Aug 30 2008 *) %Y A141439 Cf. A117127. %K A141439 nonn,base %O A141439 1,1 %A A141439 _Diana L. Mecum_, Aug 06 2008