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A097657
Fibonacci sequence with first two terms 11 and 23.
3
11, 23, 34, 57, 91, 148, 239, 387, 626, 1013, 1639, 2652, 4291, 6943, 11234, 18177, 29411, 47588, 76999, 124587, 201586, 326173, 527759, 853932, 1381691, 2235623, 3617314, 5852937, 9470251, 15323188, 24793439
OFFSET
0,1
FORMULA
a(n) = a(n-1) + a(n-2) for n > 1, a(0) = 11, a(1) = 23.
G.f.: (11 + 12*x)/(1 - x - x^2). - Philippe Deléham, Nov 20 2008
a(n) = h*Fibonacci(n+k) + Fibonacci(n+k-h) with h=7, k=3. - Bruno Berselli, Feb 20 2017
MATHEMATICA
a[0] := 11; a[1] := 23; a[n_] := a[n - 1] + a[n - 2]; Table[a[n], {n, 0, 25}] (* Stefan Steinerberger, Mar 06 2006 *)
PROG
(PARI) a(n)=([0, 1; 1, 1]^n*[11; 23])[1, 1] \\ Charles R Greathouse IV, Feb 20 2017
CROSSREFS
Cf. A000045.
Sequence in context: A090506 A250215 A208326 * A041234 A041549 A136771
KEYWORD
nonn,easy
AUTHOR
Parthasarathy Nambi, Sep 20 2004
EXTENSIONS
More terms from Stefan Steinerberger, Mar 06 2006
STATUS
approved