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 A084431 Expansion of (1 + 6*x + 5*x^2)/((1-2*x)*(1+2*x)). 2
 1, 6, 9, 24, 36, 96, 144, 384, 576, 1536, 2304, 6144, 9216, 24576, 36864, 98304, 147456, 393216, 589824, 1572864, 2359296, 6291456, 9437184, 25165824, 37748736, 100663296, 150994944, 402653184, 603979776, 1610612736, 2415919104 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform is A085287. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0,4) FORMULA a(n) = (-10*0^n - 3*(-2)^n + 21*2^n)/8. a(n) = 4*a(n-2), n > 1. - Harvey P. Dale, Nov 05 2011 MATHEMATICA CoefficientList[Series[(1+6x+5x^2)/((1-2x)(1+2x)), {x, 0, 30}], x] (* or *) Join[{1}, Flatten[NestList[4#&, {6, 9}, 15]]] (* Harvey P. Dale, Nov 05 2011 *) PROG (Magma) [(-10*0^n-3*(-2)^n+21*2^n)/8: n in [0..30]]; // Vincenzo Librandi, Nov 16 2011 CROSSREFS Bisections are A002023 and A002063. Sequence in context: A034718 A215528 A155577 * A176498 A142877 A260168 Adjacent sequences: A084428 A084429 A084430 * A084432 A084433 A084434 KEYWORD nonn,easy AUTHOR Paul Barry, Jun 26 2003 STATUS approved

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Last modified May 28 06:10 EDT 2023. Contains 362992 sequences. (Running on oeis4.)