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 A014881 a(1)=1, a(n) = 11*a(n-1)+n. 3
 1, 13, 146, 1610, 17715, 194871, 2143588, 23579476, 259374245, 2853116705, 31384283766, 345227121438, 3797498335831, 41772481694155, 459497298635720, 5054470284992936, 55599173134922313, 611590904484145461, 6727499949325600090 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..200 Index entries for linear recurrences with constant coefficients, signature (13,-23,11). FORMULA a(n) = -11/100 + 11/100*11^n - 1/10*n, with n>=1. - Paolo P. Lava, Jan 14 2009 a(n) = 13*a(n-1)-23*a(n-2)+11*a(n-3), with a(1)=1, a(2)=13, a(3)=146. - Vincenzo Librandi, Oct 20 2012 G.f.: x/((1-11*x)*(1-x)^2). - Jinyuan Wang, Mar 11 2020 MAPLE a:=n->sum(11^(n-j)*j, j=0..n): seq(a(n), n=1..17); # Zerinvary Lajos, Jun 05 2008 a:= n-> (Matrix([[1, 0, 1], [1, 1, 1], [0, 0, 11]])^n)[2, 3]: seq(a(n), n=1..17); # Alois P. Heinz, Aug 06 2008 MATHEMATICA LinearRecurrence[{13, -23, 11}, {1, 13, 146}, 20] (* Vincenzo Librandi, Oct 20 2012 *) PROG (Magma) I:=[1, 13, 146]; [n le 3 select I[n] else 13*Self(n-1) - 23*Self(n-2)+ 11*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Oct 20 2012 CROSSREFS Sequence in context: A297223 A199023 A152585 * A048442 A353107 A051524 Adjacent sequences: A014878 A014879 A014880 * A014882 A014883 A014884 KEYWORD nonn AUTHOR STATUS approved

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Last modified February 1 19:57 EST 2023. Contains 359995 sequences. (Running on oeis4.)