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A199210 a(n) = (11*4^n + 1)/3. 3
4, 15, 59, 235, 939, 3755, 15019, 60075, 240299, 961195, 3844779, 15379115, 61516459, 246065835, 984263339, 3937053355, 15748213419, 62992853675, 251971414699, 1007885658795, 4031542635179, 16126170540715, 64504682162859 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Amya Luo, Pattern Avoidance in Nonnesting Permutations, Undergraduate Thesis, Dartmouth College (2024). See p. 16.
FORMULA
a(n) = 4*a(n-1) - 1.
a(n) = 5*a(n-1) - 4*a(n-2).
G.f.: (4-5*x)/((1-x)*(1-4*x)). - Bruno Berselli, Nov 04 2011
E.g.f.: (1/3)*(11*exp(4*x) + exp(x)). - G. C. Greubel, Jan 19 2023
MATHEMATICA
LinearRecurrence[{5, -4}, {4, 15}, 31] (* G. C. Greubel, Jan 19 2023 *)
PROG
(Magma) [(11*4^n+1)/3: n in [0..30]];
(SageMath) [(11*4^n+1)/3 for n in range(31)] # G. C. Greubel, Jan 19 2023
CROSSREFS
Sequences of the form (m*4^n + 1)/3: A007583 (m=2), A136412 (m=5), this sequence (m=11), A199210 (m=11), A206373 (m=14).
Sequence in context: A007342 A017951 A326212 * A129155 A219312 A271752
KEYWORD
nonn,easy,changed
AUTHOR
Vincenzo Librandi, Nov 04 2011
STATUS
approved

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Last modified June 13 23:50 EDT 2024. Contains 373391 sequences. (Running on oeis4.)