Search: id:A105754
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%I A105754
%S A105754 1,3,7,15,31,63,127,255,502,1003,2003,3999,7983,15935,31807,63487,
%T A105754 126719,252936,504869,1007735,2011471,4014959,8013983,15996159,31928831,
%U A105754 63730943,127208950,253913031,506818327,1011625183,2019235407
%N A105754 Lucas 8-step numbers.
%D A105754 Tony D. Noe and Jonathan Vos Post, Primes in Fibonacci n-step and Lucas 
               n-step Sequences, Journal of Integer Sequences, Vol. 8 (2005), Article 
               05.4.4.
%H A105754 T. D. Noe, <a href="b105754.txt">Table of n, a(n) for n=1..200</a>
%H A105754 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Lucasn-StepNumber.html">Lucas n-Step Number</a>
%F A105754 a(n)=sum_{k=1..8} a(n-k) for n>0, a(0)=8, a(n)=-1 for n=-7..-1
%t A105754 a={-1, -1, -1, -1, -1, -1, -1, 8}; Table[s=Plus@@a; a=RotateLeft[a]; 
               a[[ -1]]=s, {n, 50}]
%Y A105754 Cf. A000032, A001644, A073817, A074048, A074584, A104621, A105755 (Lucas 
               n-step numbers).
%Y A105754 Sequence in context: A043740 A116082 A043747 this_sequence A116690 A043755 
               A105755
%Y A105754 Adjacent sequences: A105751 A105752 A105753 this_sequence A105755 A105756 
               A105757
%K A105754 nonn
%O A105754 1,2
%A A105754 T. D. Noe (noe(AT)sspectra.com), Apr 22 2005

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