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 A132856 Number of sequences {c(i), i=0..n} that form the initial terms of a self-convolution 6th power of an integer sequence such that 0 < c(n) <= 6*c(n-1) for n>0 with c(0)=1. 5
 1, 1, 6, 108, 7614, 2451762, 3773520918, 28927494486144, 1137959521626242430, 234471053096681379609150, 257075108927481255273258364890, 1518584605077301579030226106654776268, 48819910122176867311132781943952677374210562 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The minimal path in the 5-convoluted tree is A083956. Equals the number of nodes at generation n in the 6-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 6th power of some integer sequence such that 0 < c(n) <= 6*c(n-1) for n>0 with a(0)=1. LINKS 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 6-convoluted tree are as follows; The path from the root is shown, with child nodes enclosed in []. GEN.0: [1]; GEN.1: 1->[6]; GEN.2: 1-6->[3,9,15,21,27,33]; GEN.3: 1-6-3->[2,8,14] 1-6-9->[2,8,14,20,26,32,38,44,50] 1-6-15->[2,8,14,20,26,32,38,44,50,56,62,68,74,80,86] 1-6-21->[2,8,14,20,26,32,38,44,50,56,62,68,74,80,86,92,98,104,110,116,122] 1-6-27->[2,8,14,20,26,32,38,44,50,56,62,68,74,80,86,92,98,104,110,116,122,128,134,140,146,152,158] 1-6-33->[2,8,14,20,26,32,38,44,50,56,62,68,74,80,86,92,98,104,110,116,122,128,134,140,146,152,158,164,170,176,182,188,194]. Each path in the tree from the root node forms the initial terms of a self-convolution 6th power of a sequence of integer terms. CROSSREFS Cf. A132852, A132853, A132854, A132855; A083956. Sequence in context: A127946 A012503 A168482 * A288629 A041149 A193810 Adjacent sequences:  A132853 A132854 A132855 * A132857 A132858 A132859 KEYWORD nonn AUTHOR Paul D. Hanna, Sep 19 2007, Oct 06 2007 EXTENSIONS Extended by Martin Fuller, Sep 24 2007 STATUS approved

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Last modified February 23 00:28 EST 2020. Contains 332157 sequences. (Running on oeis4.)