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 A004275 1 together with nonnegative even numbers. 44
 0, 1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS A091090(a(n)) = 1. - Reinhard Zumkeller, Mar 13 2011 Base-4 analog of A031149: floor[n^2/4] is a square. - M. F. Hasler, Jan 15 2012 From Eric M. Schmidt, Jul 17 2017: (Start) Number of sequences (e(1), ..., e(n)), 0 <= e(i) < i, such that there is no triple i < j < k with e(i) != e(j) and e(i) != e(k). [Martinez and Savage, 2.2] Number of sequences (e(1), ..., e(n)), 0 <= e(i) < i, such that there is no triple i < j < k with e(i) >= e(j) and e(i) != e(k). [Martinez and Savage, 2.2] (End) LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..10000 Megan A. Martinez and Carla D. Savage, Patterns in Inversion Sequences II: Inversion Sequences Avoiding Triples of Relations, arXiv:1609.08106 [math.CO], 2016. FORMULA G.f.: x*(1+x^2)/(1-x)^2. - Paul Barry, Feb 28 2003 a(n) = floor((2*n^2)/(1 + n)). - Enrique Pérez Herrero, Apr 05 2010 a(n) = 2n - 2 + floor(2/(n+1)) = max(n, 2n-2) = 2n - 1 + sgn(1-n). Also, a(0)=0, a(1)=1, a(n) = 2n-2 for n > 1. - Wesley Ivan Hurt, Nov 05 2013 MAPLE A004275:= n-> 2*n - 2 + floor(2/(n+1)); seq(A004275(k), k=0..100); # Wesley Ivan Hurt, Nov 05 2013 MATHEMATICA A004275[n_]:=Floor[(2 n^2)/(1 + n)]; (* Enrique Pérez Herrero, Apr 05 2010 *) Insert[Range[0, 110, 2], 1, 2] (* Harvey P. Dale, Feb 27 2015 *) PROG (MAGMA) [Floor((2*n^2)/(1 + n)): n in [0..60] ]; // Vincenzo Librandi, Aug 19 2011 (Haskell) a004275 n = 2 * n - 1 + signum (1 - n) a004275_list = 0 : 1 : [2, 4 ..]  -- Reinhard Zumkeller, Dec 18 2013 CROSSREFS Cf. A004277. Range of A007457. Sequence in context: A055964 A055966 A087113 * A119432 A005843 A317108 Adjacent sequences:  A004272 A004273 A004274 * A004276 A004277 A004278 KEYWORD easy,nonn AUTHOR STATUS approved

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Last modified May 15 17:50 EDT 2021. Contains 343920 sequences. (Running on oeis4.)