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A105754
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Lucas 8-step numbers.
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5
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1, 3, 7, 15, 31, 63, 127, 255, 502, 1003, 2003, 3999, 7983, 15935, 31807, 63487, 126719, 252936, 504869, 1007735, 2011471, 4014959, 8013983, 15996159, 31928831, 63730943, 127208950, 253913031, 506818327, 1011625183, 2019235407
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| 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
| T. D. Noe, Table of n, a(n) for n=1..200
Eric Weisstein's World of Mathematics, Lucas n-Step Number
Index to sequences with linear recurrences with constant coefficients, signature (1,1,1,1,1,1,1,1).
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FORMULA
| a(n)=sum_{k=1..8} a(n-k) for n>0, a(0)=8, a(n)=-1 for n=-7..-1
G.f. -x*(1+2*x+3*x^2+4*x^3+5*x^4+6*x^5+7*x^6+8*x^7) / ( -1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8 ). - R. J. Mathar, Jun 20 2011
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MATHEMATICA
| a={-1, -1, -1, -1, -1, -1, -1, 8}; Table[s=Plus@@a; a=RotateLeft[a]; a[[ -1]]=s, {n, 50}]
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CROSSREFS
| Cf. A000032, A001644, A073817, A074048, A074584, A104621, A105755 (Lucas n-step numbers).
Sequence in context: A043740 A116082 A043747 * A116690 A043755 A105755
Adjacent sequences: A105751 A105752 A105753 * A105755 A105756 A105757
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KEYWORD
| nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Apr 22 2005
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