# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a266530 Showing 1-1 of 1 %I A266530 #34 Feb 22 2023 21:42:35 %S A266530 0,0,1,2,3,4,7,10,11,12,15,18,23,28,35,42,43,44,47,50,55,60,67,74,79, %T A266530 84,95,106,123,140,155,170,171,172,175,178,183,188,195,202,207,212, %U A266530 223,234,251,268,283,298,303,308,319,330,347,364,383,402,423,444,483,522,571,620,651,682,683,684,687,690,695,700 %N A266530 Partial sums of A266529. %C A266530 Also the toothpick sequence A139250 and twice the terms of A255747 interleaved. %C A266530 It appears that this sequence has a fractal (or fractal-like) behavior. %C A266530 First differs from A266510 at a(55), with which it shares infinitely many terms. %C A266530 First differs from A266540 at a(25), with which it shares infinitely many terms. %H A266530 Ivan Neretin, Table of n, a(n) for n = 1..8192 %H A266530 N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS %H A266530 Index entries for sequences related to cellular automata %F A266530 a(2n-1) = A139250(n). %F A266530 a(2n) = 2 * A255747(n-1). %F A266530 a(n) = (a(n-1) + a(n+1))/2, if n is an odd number greater than 1. %t A266530 Accumulate[Riffle[#, #] &@ Nest[Join[#, 2 # + Append[Rest@#, 1]] &, {0}, 6]] (* _Ivan Neretin_, Feb 09 2017 *) %Y A266530 Cf. A139250, A160552, A255747, A266510, A266529, A266540. %K A266530 nonn %O A266530 1,4 %A A266530 _Omar E. Pol_, Jan 02 2016 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE