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 A171472 a(n) = 6*a(n-1) - 8*a(n-2) for n > 1; a(0) = 7, a(1) = 30. 13
 7, 30, 124, 504, 2032, 8160, 32704, 130944, 524032, 2096640, 8387584, 33552384, 134213632, 536862720, 2147467264, 8589901824, 34359672832, 137438822400, 549755551744, 2199022731264, 8796091973632, 35184369991680 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Related to Reverse and Add trajectory of 22 in base 2: A061561(4*n+2) = 12*a(n). Third binomial transform of A010729. a(n) in base 2 is n+3 1s followed by n 0s. - Hussam al-Homsi, Oct 12 2021 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^n. G.f.: (7-12*x)/((1-2*x)*(1-4*x)). a(n) = A171499(n+1)/2. - Hussam al-Homsi, Jun 06 2021 MATHEMATICA LinearRecurrence[{6, -8}, {7, 30}, 30] (* Harvey P. Dale, Sep 01 2016 *) PROG (PARI) {m=22; v=concat([7, 30], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]); v} (MAGMA) [8*4^n-2^n: n in [0..30]]; // Vincenzo Librandi, May 31 2011 CROSSREFS Cf. A061561, A010729 (repeat 7, 9), A171470, A171471, A171473, A171499. Sequence in context: A026631 A037709 A037611 * A220720 A024311 A210100 Adjacent sequences:  A171469 A171470 A171471 * A171473 A171474 A171475 KEYWORD nonn,easy AUTHOR Klaus Brockhaus, Dec 09 2009 STATUS approved

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Last modified August 18 02:34 EDT 2022. Contains 356204 sequences. (Running on oeis4.)