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 A171496 a(n) = 6*a(n-1) - 8*a(n-2) for n > 1; a(0) = 6, a(1) = 28. 3
 6, 28, 120, 496, 2016, 8128, 32640, 130816, 523776, 2096128, 8386560, 33550336, 134209536, 536854528, 2147450880, 8589869056, 34359607296, 137438691328, 549755289600, 2199022206976, 8796090925056, 35184367894528 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS a(n) = A171476(n+1) = A006516(n+2). a(n+1) - a(n) = A010036(n+2). Binomial transform of A171495; second binomial transform of A171494; third binomial transform of A010726. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..500 Index entries for linear recurrences with constant coefficients, signature (6, -8). FORMULA a(n) = 8*4^n - 2*2^n. G.f.: 2*(3-4*x)/((1-2*x)*(1-4*x)). a(n) = 4*a(n-1)+2^(n+1) (with a(0)=6). - Vincenzo Librandi, Dec 04 2010 MATHEMATICA LinearRecurrence[{6, -8}, {6, 28}, 30] (* Harvey P. Dale, Dec 21 2014 *) PROG (PARI) {m=22; v=concat([6, 28], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]); v} (MAGMA) [8*4^n-2*2^n: n in [0..30]]; // Vincenzo Librandi, Jul 18 2011 CROSSREFS Equals 2*A171499. Cf. A171476, A006516, A010036, A171494, A171495, A010726, A171472, A171473. Sequence in context: A065997 A006516 A171476 * A330532 A037131 A292485 Adjacent sequences:  A171493 A171494 A171495 * A171497 A171498 A171499 KEYWORD nonn,easy AUTHOR Klaus Brockhaus, Dec 10 2009 STATUS approved

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Last modified June 18 23:10 EDT 2021. Contains 345125 sequences. (Running on oeis4.)