来自在线整数百科全书的问候语!http://oeis.org/ Search: id:a079314 Showing 1-1 of 1 %I A079314 %S A079314 1,2,2,4,2,4,4,10,2,4,4,10,4,10,10,28,2,4,4,10,4,10,10,28,4,10,10,28, %T A079314 10,28,28,82,2,4,4,10,4,10,10,28,4,10,10,28,10,28,28,82,4,10,10,28,10, %U A079314 28,28,82,10,28,28,82,28,82,82,244,2,4,4,10,4,10,10,28,4,10,10,28,10,28,28,82,4 %N A079314 Number of first-quadrant cells (including the two boundaries) born at stage n of the Holladay-Ulam cellular automaton. %C A079314 See the main entry for this CA, A147562, for further information. %C A079314 When I first read the Singmaster MS in 2003 I misunderstood the definition of the CA. In fact once cells are ON they stay ON. 在A079317中描述了另一种版本,当单元格可以将状态从ON改变为OFF时。-A.J.A.SLaNeNez,AUG 05 2009 2009 %C A079314,该模式具有4倍对称性;序列仅在一个象限中计数细胞。%D A079314D。乌拉姆和沃伯顿的细胞自动机,开放大学M500杂志,第195版(2003年12月),pp.2-7.7,%A779314 David Applegate,Omar E. Pol和N.J.A.斯隆,基于细胞自动机的牙签序列及其他序列国会议员,第206卷(2010),157—191页。[定理6中有一个类型:(13)应该读取u(n)=4.3 ^(Wt(n-1)-1),对于n>=2。] %0h,A079314 Omar E. Pol,初始术语说明(重叠方块)[来自OMAR E.波尔,11月20日2009 ] %A079314 D. Singmaster,论乌拉姆和沃伯顿的元胞自动机,2003(缓存副本,包含许可)%%H A079314 N.J.A.斯隆,OEIS中的Toothpick目录和元胞自动机序列%H A079314 N.J.A.斯隆,元胞自动机中的On元数,ARXIV:1503.01168,2015πF A079314,对于n>0,A(n)=3 ^(A000 0120(n)-1)+1 .0%F A079314,对于n>0,A(n)=A1475 82n(4)/4±1。[From _Omar E. Pol_, Nov 20 2009] %e A079314 Contribution from _Omar E. Pol_, Jul 18 2009: (Start) %e A079314 If written as a triangle: %e A079314 1; %e A079314 2; %e A079314 2,4; %e A079314 2,4,4,10; %e A079314 2,4,4,10,4,10,10,28; %e A079314 2,4,4,10,4,10,10,28,4,10,10,28,10,28,28,82; %e A079314 2,4,4,10,4,10,10,28,4,10,10,28,10,28,28,82,4,10,10,28,10,28,28,82,10,28;... %e A079314 Rows converge to A151712. %e A079314 (End) %Y A079314 Cf. A147582, A079315-A079319, A151713, A139250. %Y A079314 Cf. A151922, A160407. [从OMAR E.POLLY,11月20日2009 ] %A079314 NON,易%%O A079314 0,2‰A079314.N.J.A.SLaNeNe],2月12日2003‰E A079314编辑的J.A.SLANEEAY,AUG 05×2009π内容在OEIS最终用户许可协议下可用:HTTP:/OEIS.Org/许可证