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 A337097 #5 Aug 16 2020 13:01:04 %S A337097 4,12,20,28,57,203,76,129,371,124,201,219,237,623,505,327,2489,1099, %T A337097 332,865,543,1337,2743,452,1165,723,1757,1315,813,831,849,2051,604, %U A337097 921,939,10757,1915,5213,2095,3017,2215,5993,2395,1461,6539,2605,17267,2965,1803,1821,1839,1857,12179,1324,8801 %N A337097 Infinite sum of the odd numbers, compacted (see the Comments line for an explanation). %C A337097 When the successive terms of the present sequence are expressed as the sum of k>1 consecutive odd numbers and added, the end result will be 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17...... (conjectured to extend ad infinitum). %C A337097 This is the lexicographically earliest sequence of distinct positive terms with this property. %C A337097 The equivalent sequence with sums of consecutive even numbers is simply A336897 where every term is doubled. %e A337097 The 1st term is 4 and 4 = 1+3. %e A337097 The 2nd term is 12 and 12 = 5+7. %e A337097 The 3rd term is 20 and 20 = 9+11. %e A337097 The 4th term is 28 and 28 = 13+15. %e A337097 The 5th term is 57 and 57 = 17+19+21; etc. %e A337097 (The 5th term is NOT 36 as 36 can be expressed as the sum of k>1 consecutive odd numbers in more than one way: 36 = 17+19 and 36 = 1+3+5+7+9+11). %Y A337097 Cf. A336897, A337094. %K A337097 base,nonn %O A337097 1,1 %A A337097 _Eric Angelini_ and _Jean-Marc Falcoz_, Aug 15 2020