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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 Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Amya Luo, Pattern Avoidance in Nonnesting Permutations, Undergraduate Thesis, Dartmouth College (2024). See p. 16. Index entries for linear recurrences with constant coefficients, signature (5,-4). 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 Adjacent sequences: A199207 A199208 A199209 * A199211 A199212 A199213 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.)