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 A094015 Expansion of (1+4x)/(1-8x^2). 7
 1, 4, 8, 32, 64, 256, 512, 2048, 4096, 16384, 32768, 131072, 262144, 1048576, 2097152, 8388608, 16777216, 67108864, 134217728, 536870912, 1073741824, 4294967296, 8589934592, 34359738368, 68719476736, 274877906944 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums of triangle A135838. - Gary W. Adamson, Dec 01 2007 Row sums of triangle A152842. - Reinhard Zumkeller, May 01 2014 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0,8). FORMULA a(n) = 2^(3n/2)(1 + sqrt(2) + (1 - sqrt(2))(-1)^n)/2. a(n) = (1/4)(3 + (-1)^n)8^floor((n+1)/2). - Paul Barry, Jul 14 2004 a(n) = (1 + sqrt(2))(2sqrt(2))^n/2 + (1-sqrt(2))(-2sqrt(2))^n/2. Third binomial transform is A002315 (NSW numbers). - Paul Barry, Jul 17 2004 a(n) = 2^A007494(n). - Paul Barry, Aug 18 2007 a(n) = A016116(n+1)*A000079(n). - R. J. Mathar, Jul 08 2009 a(n+3) = a(n+2)*a(n+1)/a(n). - Reinhard Zumkeller, Mar 04 2011 MAPLE a:=n->mul(3-(-1)^j, j=1..n):seq(a(n), n=0..25); # Zerinvary Lajos, Dec 13 2008 PROG (Haskell) a094015 = sum . a152842_row  -- Reinhard Zumkeller, May 01 2014 CROSSREFS Cf. A094014, A135838. Sequence in context: A050442 A229953 A291938 * A094867 A149093 A149094 Adjacent sequences:  A094012 A094013 A094014 * A094016 A094017 A094018 KEYWORD easy,nonn AUTHOR Paul Barry, Apr 21 2004 STATUS approved

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