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 A048487 a(n) = T(4,n), array T given by A048483. 14
 1, 6, 16, 36, 76, 156, 316, 636, 1276, 2556, 5116, 10236, 20476, 40956, 81916, 163836, 327676, 655356, 1310716, 2621436, 5242876, 10485756, 20971516, 41943036, 83886076, 167772156, 335544316, 671088636, 1342177276, 2684354556 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums of triangle A131113. - Gary W. Adamson, Jun 15 2007 a(n) = sum of (n+1)-th row terms of triangle A134636. This sequence is the binomial transform of 1, 5, 5, (5 continued). - Gary W. Adamson, Nov 04 2007 Row sums of triangle A135856. - Gary W. Adamson, Dec 01 2007 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (3,-2). FORMULA a(n) = 5*2^n - 4. - Henry Bottomley, May 29 2001 a(n) = 2*a(n-1) + 4 for n > 0 with a(0) = 1. - Paul Barry, Aug 25 2004 From Colin Barker, Sep 13 2012: (Start) a(n) = 3*a(n-1) - 2*a(n-2) for n >= 2. G.f.: (1 + 3*x)/((1 - x)*(1 - 2*x)). (End) a(n) = A123208(2*n). - Philippe Deléham, Apr 15 2013 MATHEMATICA a=1; lst={a}; k=5; Do[a+=k; AppendTo[lst, a]; k+=k, {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 15 2008 *) a=6; lst={1, a}; k=10; Do[a+=k; AppendTo[lst, a]; k+=k, {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 17 2008 *) PROG (Magma)[5*2^n-4: n in [0..30]]; // Vincenzo Librandi, Sep 23 2011 CROSSREFS Cf. A010716 (n-th difference of a(n), a(n-1), ..., a(0)). Diagonal of A062001. A column of A119726. Cf. A048483, A131113, A134636, A135856. Sequence in context: A247619 A120586 A171373 * A124699 A237601 A064602 Adjacent sequences: A048484 A048485 A048486 * A048488 A048489 A048490 KEYWORD nonn,easy AUTHOR Clark Kimberling STATUS approved

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Last modified May 28 02:01 EDT 2023. Contains 362992 sequences. (Running on oeis4.)