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 A165151 a(n) = (3*11^n - 7^n)/2. 3
 1, 13, 157, 1825, 20761, 233173, 2598517, 28818985, 318655921, 3516744733, 38764899277, 426978842545, 4700721921481, 51735623710693, 569285638838437, 6263498473368505, 68907978330073441, 758054227491947053, 8339061763439391997, 91732936225029132865, 1009085096265691207801 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform of A165150. Inverse binomial transform of A165152. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (18,-77). FORMULA a(n) = 18*a(n-1) - 77*a(n-2) for n > 1; a(0) = 1, a(1) = 13. G.f.: (1 - 5*x)/((1 - 7*x)*(1 - 11*x)). E.g.f.: exp(7*x)*(3*exp(4*x) - 1)/2. - Stefano Spezia, Mar 21 2023 MATHEMATICA Table[(3 11^n-7^n)/2, {n, 0, 20}] (* or *) LinearRecurrence[{18, -77}, {1, 13}, 20] (* Harvey P. Dale, Jan 28 2012 *) PROG (Magma) [ (3*11^n-7^n)/2: n in [0..17] ]; CROSSREFS Cf. A165150, A165152. Sequence in context: A244206 A159499 A125470 * A016125 A353147 A175519 Adjacent sequences: A165148 A165149 A165150 * A165152 A165153 A165154 KEYWORD nonn,easy AUTHOR Klaus Brockhaus, Sep 15 2009 STATUS approved

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Last modified February 25 07:35 EST 2024. Contains 370310 sequences. (Running on oeis4.)