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A082311
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A Jacobsthal sequence trisection.
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9
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1, 5, 43, 341, 2731, 21845, 174763, 1398101, 11184811, 89478485, 715827883, 5726623061, 45812984491, 366503875925, 2932031007403, 23456248059221, 187649984473771, 1501199875790165, 12009599006321323, 96076792050570581
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (7,8).
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FORMULA
| a(n) = 2*8^n/3+(-1)^n/3 = A001045(3*n+1).
a(n)=7*a(n-1)+8*a(n-2). G.f.: (1-2*x)/((1+x)(1-8*x)). [From R. J. Mathar, Feb 23 2009]
First trisection of A024494. a(n)=8*a(n-1)+3*(-1)^n. Sum of digits=A070366. - Paul Curt, Nov 20 2007
a(n)= A007613(n) + A132805(n) = A081374(1+3*n). - Paul Curtz, Jun 06 2011
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MATHEMATICA
| f[n_] := (2*8^n + (-1)^n)/3; Array[f, 25, 0] (* Robert G. Wilson v, Aug 13 2011 *)
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PROG
| (MAGMA)[2*8^n/3+(-1)^n/3 : n in [0..30]]; // Vincenzo Librandi, Aug 13 2011
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CROSSREFS
| Cf. A015565, A082365.
Sequence in context: A126963 A038140 A178826 * A156886 A112115 A083070
Adjacent sequences: A082308 A082309 A082310 * A082312 A082313 A082314
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 09 2003
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