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A015460
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q-Fibonacci numbers for q=3.
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6
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0, 1, 1, 4, 13, 121, 1174, 30577, 886423, 67758322, 5883579625, 1339570631551, 348759063908176, 237649677731273173, 185582515360156234789, 379075929664916795231668, 888014493839316022947740209
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OFFSET
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0,4
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..90
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FORMULA
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a(n) = a(n-1) + 3^(n-2) a(n-2).
Associated constant: C_3=lim n-->infty a(n)*a(n-2)/a(n-1)^2 =1.147262608254535257774121586.... - Benoit Cloitre, Aug 30 2003
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MATHEMATICA
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RecurrenceTable[{a[0]==0, a[1]==1, a[n]==a[n-1]+a[n-2]*3^(n-2)}, a, {n, 30}] (* Vincenzo Librandi, Nov 08 2012 *)
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PROG
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(MAGMA) [0] cat[n le 2 select 1 else Self(n-1) + Self(n-2)*(3^(n-2)): n in [1..20]]; // Vincenzo Librandi, Nov 08 2012
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CROSSREFS
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Cf. A015459.
Sequence in context: A222764 A058014 A045886 * A121813 A197897 A203380
Adjacent sequences: A015457 A015458 A015459 * A015461 A015462 A015463
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KEYWORD
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nonn,easy
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AUTHOR
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Olivier Gérard
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STATUS
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approved
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