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 A140513 Repeat 2^n n times. 8
 2, 4, 4, 8, 8, 8, 16, 16, 16, 16, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 128, 128, 128, 128, 128, 128, 128, 256, 256, 256, 256, 256, 256, 256, 256, 512, 512, 512, 512, 512, 512, 512, 512, 512, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Reinhard Zumkeller, Rows n = 0..127 of triangle, flattened Sajed Haque, Chapter 2.6.2 of Discriminators of Integer Sequences, 2017, See p. 34. FORMULA a(n) = 2*A137688(n). a(n) = A018900(n+1) - A059268(n). - Reinhard Zumkeller, Jun 24 2009 From Reinhard Zumkeller, Feb 28 2010: (Start) Seen as a triangle read by rows: T(n,k)=2^n, 1 <= k <= n. T(n,k) = A173786(n-1,k-1) + A173787(n-1,k-1), 1 <= k <= n. (End) Sum_{n>=0} 1/a(n) = 2. - Amiram Eldar, Aug 16 2022 MATHEMATICA t={}; Do[r={}; Do[If[k==0||k==n, m=2^n, m=t[[n, k]] + t[[n, k + 1]]]; r=AppendTo[r, m], {k, 0, n}]; AppendTo[t, r], {n, 0, 10}]; t=Flatten[2 t] (* Vincenzo Librandi, Feb 17 2018 *) Table[Table[2^n, n], {n, 10}]//Flatten (* Harvey P. Dale, Dec 04 2018 *) PROG (Haskell) a140513 n k = a140513_tabl !! (n-1) !! (k-1) a140513_row n = a140513_tabl !! (n-1) a140513_tabl = iterate (\xs@(x:_) -> map (* 2) (x:xs)) [2] a140513_list = concat a140513_tabl -- Reinhard Zumkeller, Nov 14 2015 CROSSREFS Cf. A000079, A018900, A059268, A111650, A137688. Sequence in context: A034583 A076347 A207872 * A265322 A188112 A333194 Adjacent sequences: A140510 A140511 A140512 * A140514 A140515 A140516 KEYWORD nonn,tabl AUTHOR Paul Curtz, Jul 01 2008 STATUS approved

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Last modified February 5 02:46 EST 2023. Contains 360082 sequences. (Running on oeis4.)