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A033118
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Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,0.
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5
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1, 8, 65, 520, 4161, 33288, 266305, 2130440, 17043521, 136348168, 1090785345, 8726282760, 69810262081, 558482096648, 4467856773185, 35742854185480, 285942833483841, 2287542667870728, 18300341342965825, 146402730743726600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Partial sums of A015565. [From Mircea Merca, Dec 28 2010]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index to sequences with linear recurrences with constant coefficients, signature (8,1,-8).
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FORMULA
| a(n) = +8*a(n-1)+a(n-2)-8*a(n-3).
a(n) = 2^(3*n+3)/63-1/14-(-1)^n/18. - R. J. Mathar, Jan 08 2011
G.f. x/((1-x^2)*(1-8*x)); a(n)=sum{k=0..n, A001045(3k)}/3; - Paul Barry (pbarry(AT)wit.ie), Apr 04 2008
a(n)= floor(8^(n+1)/9)/7 = floor((8*8^n-1)/63) = round((8*8^n-8)/63) = round((16*8^n-9)/63) = ceil((8*8^n-8)/63). a(n)=a(n-2)+8^(n-1), n>2. [From Mircea Merca, Dec 28 2010]
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MAPLE
| seq(1/7*floor(8^(n+1)/9), n=1..22); [From Mircea Merca, Dec 27 2010]
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MATHEMATICA
| Join[{a=1, b=8}, Table[c=7*b+8*a+1; a=b; b=c, {n, 60}]] (*From Vladimir Joseph Stephan Orlovsky, Feb 06 2011*)
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PROG
| (MAGMA) [Round((8*8^n-8)/63): n in [1..30]]; // Vincenzo Librandi, Jun 25 2011
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CROSSREFS
| Pairwise sums are (8^n - 1)/7 (A023001).
Sequence in context: A202783 A067685 A009373 * A033126 A022039 A041025
Adjacent sequences: A033115 A033116 A033117 * A033119 A033120 A033121
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KEYWORD
| nonn,base,easy
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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