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 A378030 #12 Nov 15 2024 23:39:16 %S A378030 3,4,7,11,6,17,23,9,32,12,44,56,14,70,16,86,102,19,121,21,142,24,166, %T A378030 190,26,216,28,244,30,274,33,307,340,35,375,37,412,39,451,41,492,43, %U A378030 535,578,46,624,48,672,50,722,52,774,54,828,57,885,942,59,1001,61,1062,63,1125,65,1190,67,1257,69,1326,1395,72,1467,74,1541,76,1617,78,1695,80 %N A378030 Lexicographically earliest sequence of distinct positive integers such that a(a(n)) = a(a(n)-1) + a(a(n)-2). %C A378030 A self-referencing Fibonacci sequence. The terms appear to be concentrated along two lines, a lower straight line where a(n) is approximately n and an upper curved line where a(n) ~ n^2/4. %C A378030 The missing numbers are 1, 2, 5, 8, 10, 13, 15, 18, 20, 22, 25, 27, 29, 31, ... . %H A378030 Scott R. Shannon, <a href="/A378030/b378030.txt">Table of n, a(n) for n = 1..10000</a> %e A378030 a(1) = 3 as a(3) = 7 and a(3-1) + a(3-2) = 4 + 3 = 7. %Y A378030 Cf. A000045, A105753, A007378, A004001, A005185, A121053. %K A378030 nonn %O A378030 1,1 %A A378030 _Scott R. Shannon_, Nov 14 2024