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A026385 Sum{T(n-k,k)}, 0<=k<=[ n/2 ], where T is the array in A026374. 3
1, 1, 2, 4, 6, 11, 20, 33, 59, 104, 178, 314, 549, 952, 1669, 2913, 5074, 8872, 15482, 27007, 47172, 82325, 143675, 250848, 437822, 764198, 1334041, 2328512, 4064457, 7094833, 12384034, 21616716, 37732990, 65863651 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
G.f.: (1+x+x^2)/(1-x^2-3x^3-x^4). - Ralf Stephan, Apr 30 2004
a(n) = a(n-2) + 3*a(n-3) + a(n-4) for n>3. - Vincenzo Librandi, Jun 19 2014
MATHEMATICA
LinearRecurrence[{0, 1, 3, 1}, {1, 1, 2, 4}, 40] (* Harvey P. Dale, Jun 18 2014 *)
CoefficientList[Series[(1 + x + x^2)/(1 - x^2 - 3 x^3 - x^4), {x, 0, 40}], x] (* Vincenzo Librandi, Jun 19 2014 *)
PROG
(Magma) I:=[1, 1, 2, 4]; [n le 4 select I[n] else Self(n-2)+3*Self(n-3)+Self(n-4): n in [1..40]]; // Vincenzo Librandi, Jun 19 2014
CROSSREFS
Sequence in context: A113913 A002097 A026757 * A254532 A199926 A068330
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified September 11 17:54 EDT 2024. Contains 375839 sequences. (Running on oeis4.)