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Search: id:A105755
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| 1, 3, 7, 15, 31, 63, 127, 255, 511, 1013, 2025, 4047, 8087, 16159, 32287, 64511, 128895, 257535, 514559, 1028105, 2054185, 4104323, 8200559, 16384959, 32737631, 65410751, 130692607, 261127679, 521740799, 1042453493, 2082852801
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OFFSET
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1,2
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REFERENCES
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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.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..200
Eric Weisstein's World of Mathematics, Lucas n-Step Number
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FORMULA
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a(n)=sum_{k=1..9} a(n-k) for n>0, a(0)=9, a(n)=-1 for n=-8..-1
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MATHEMATICA
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a={-1, -1, -1, -1, -1, -1, -1, -1, 9}; Table[s=Plus@@a; a=RotateLeft[a]; a[[ -1]]=s, {n, 50}]
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CROSSREFS
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Cf. A000032, A001644, A073817, A074048, A074584, A104621, A105754 (Lucas n-step numbers).
Sequence in context: A105754 A116690 A043755 this_sequence A043764 A097002 A060152
Adjacent sequences: A105752 A105753 A105754 this_sequence A105756 A105757 A105758
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Apr 22 2005
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