The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A132854 Number of sequences {c(i), i=0..n} that form the initial terms of a self-convolution 4th power of an integer sequence such that 0 < c(n) <= 4*c(n-1) for n>0 with c(0)=1. 5
 1, 1, 4, 32, 736, 47600, 9901728, 6780161344, 15819971230848, 128391245362464512, 3685238521747987153664, 378871127417706380405937152, 140962622184196263047081802452992, 191428155805533938524028481989647915008 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The minimal path in the 4-convoluted tree is A083954 and the maximal path is A132837. Equals the number of nodes at generation n in the 4-convoluted tree, which is defined as follows: tree of all finite sequences {c(k), k=0..n} that form the initial terms of a self-convolution 4th power of some integer sequence such that 0 < c(n) <= 4*c(n-1) for n>0 with a(0)=1. - Paul D. Hanna, Oct 06 2007 LINKS Table of n, a(n) for n=0..13. Martin Fuller, Computing A132852, A132853, A132854, A132855, A132856 EXAMPLE a(n) counts the nodes in generation n of the following tree. Generations 0..3 of the 4-convoluted tree are as follows; The path from the root is shown, with child nodes enclosed in []. GEN.0: [1]; GEN.1: 1->[4]; GEN.2: 1-4->[2,6,10,14]; GEN.3: 1-4-2->[4,8] 1-4-6->[4,8,12,16,20,24] 1-4-10->[4,8,12,16,20,24,28,32,36,40] 1-4-14->[4,8,12,16,20,24,28,32,36,40,44,48,52,56]. Each path in the tree from the root node forms the initial terms of a self-convolution 4th power of a sequence of integer terms. CROSSREFS Cf. A132852, A132853, A132855, A132856; A083954, A132837. Sequence in context: A118995 A222829 A134087 * A136471 A243918 A370544 Adjacent sequences: A132851 A132852 A132853 * A132855 A132856 A132857 KEYWORD nonn AUTHOR Paul D. Hanna, Sep 19 2007, Oct 06 2007 EXTENSIONS Extended by Martin Fuller, Sep 24 2007 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 15 01:27 EDT 2024. Contains 375171 sequences. (Running on oeis4.)