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URL: https://oeis.org/A022122

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A022122
Fibonacci sequence beginning 3, 10.
3
3, 10, 13, 23, 36, 59, 95, 154, 249, 403, 652, 1055, 1707, 2762, 4469, 7231, 11700, 18931, 30631, 49562, 80193, 129755, 209948, 339703, 549651, 889354, 1439005, 2328359, 3767364, 6095723, 9863087, 15958810, 25821897, 41780707, 67602604, 109383311, 176985915
OFFSET
0,1
FORMULA
G.f.: (3+7x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008
From Wajdi Maaloul, Jun 09 2022: (Start)
a(n) = 3*Lucas(n+1) + Fibonacci(n).
a(n) = 3*Fibonacci(n+1) + 7*Fibonacci(n).
a(n) = a(n-1) + a(n-2). (End)
MATHEMATICA
a={}; b=3; c=10; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 4!}]; a (* Vladimir Joseph Stephan Orlovsky, Sep 17 2008 *)
CROSSREFS
Sequence in context: A229205 A229483 A235089 * A042479 A042897 A041169
KEYWORD
nonn,easy
STATUS
approved