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A120727 a(n) = a(n-1) + a(n-2), starting with 110, 211. 1
110, 211, 321, 532, 853, 1385, 2238, 3623, 5861, 9484, 15345, 24829, 40174, 65003, 105177, 170180, 275357, 445537, 720894, 1166431, 1887325, 3053756, 4941081, 7994837, 12935918, 20930755, 33866673, 54797428, 88664101, 143461529 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..286

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (1,1).

FORMULA

a(0)=101, a(1)=110, a(n) = a(n-1) + a(n-2).

G.f.: (110*x + 101*x^2)/(1 - x - x^2). - Philippe Deléham, Nov 20 2008

MATHEMATICA

d = 10 M = {{0, 1, 0}, {0, 0, 1}, {1, d, d^2}} v[n_] := Table[Fibonacci[n + i], {i, 0, 2}] w[n_] := M.v[n] Table[w[n][[3]], {n, 0, 50}]

Transpose[NestList[Flatten[{Last[#], Total[#]}]&, {110, 211}, 40]][[1]] (* or *) Rest[CoefficientList[Series[(110x+101x^2)/(1-x-x^2), {x, 0, 41}], x]]  (* Harvey P. Dale, Mar 27 2011 *)

PROG

(MAGMA) [n le 2 select 101*n+9 else Self(n-1)+Self(n-2): n in [1..30]] // Bruno Berselli, Mar 28 2011

(PARI) a=vector(99); a[1]=110; a[2]=211; for(i=3, #a, a[i]=a[i-1]+a[i-2]); a \\ Charles R Greathouse IV, Jun 05 2011

CROSSREFS

Cf. A000045.

Sequence in context: A249838 A103652 A032614 * A251230 A264447 A134213

Adjacent sequences:  A120724 A120725 A120726 * A120728 A120729 A120730

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, Aug 19 2006

EXTENSIONS

Edited by N. J. A. Sloane, Dec 04 2006

STATUS

approved

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Last modified December 12 20:12 EST 2019. Contains 329961 sequences. (Running on oeis4.)