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 A036292 a(n) = n*6^n. 3
 0, 6, 72, 648, 5184, 38880, 279936, 1959552, 13436928, 90699264, 604661760, 3990767616, 26121388032, 169789022208, 1097098297344, 7052774768640, 45137758519296, 287753210560512, 1828079220031488, 11577835060199424, 73123168801259520, 460675963447934976 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (12,-36). FORMULA a(n) = n * A000400(n). - Michel Marcus, Nov 09 2013 G.f.: 6*x/(1-6*x)^2. - Vincenzo Librandi, Apr 10 2016 a(n) = 12*a(n-1) - 36*a(n-2). - Vincenzo Librandi, Apr 10 2016 From Amiram Eldar, Jul 20 2020: (Start) Sum_{n>=1} 1/a(n) = log(6/5). Sum_{n>=1} (-1)^(n+1)/a(n) = log(7/6). (End) MAPLE A036292:=n->n*6^n; seq(A036292(n), n=0..50); # Wesley Ivan Hurt, Nov 09 2013 MATHEMATICA Table[n*6^n, {n, 0, 50}] (* Wesley Ivan Hurt, Nov 08 2013 *) LinearRecurrence[{12, -36}, {0, 6}, 25] (* Vincenzo Librandi, Apr 10 2016 *) PROG (PARI) a(n) = n*6^n; \\ Michel Marcus, Nov 09 2013 (MAGMA) [n*6^n: n in [0..30]]; // Vincenzo Librandi, Apr 10 2016 CROSSREFS Sequence in context: A118313 A283095 A281774 * A061690 A133678 A005548 Adjacent sequences:  A036289 A036290 A036291 * A036293 A036294 A036295 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified August 14 09:14 EDT 2020. Contains 336480 sequences. (Running on oeis4.)