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 A116952 a(n) = 3*a(n-1) + 5 with a(0) = 1. 6
 1, 8, 29, 92, 281, 848, 2549, 7652, 22961, 68888, 206669, 620012, 1860041, 5580128, 16740389, 50221172, 150663521, 451990568, 1355971709, 4067915132, 12203745401, 36611236208, 109833708629, 329501125892, 988503377681, 2965510133048, 8896530399149 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (4,-3). FORMULA a(n) = (7/2)3^n-(5/2). [Emeric Deutsch] a(n) = 4*a(n-1)-3*a(n-2). G.f.: (4*x+1) / ((x-1)*(3*x-1)). - Colin Barker, Jul 18 2013 EXAMPLE The second term is 8 since a(1) = 3*a(0) + 5 = 3*1 + 5 = 8. MAPLE a:=n->(7*3^n-5)/2: seq(a(n), n=0..27); a[0]:=1: for n from 1 to 27 do a[n]:=3*a[n-1]+5 od: seq(a[n], n=0..27); MATHEMATICA a[0] := 1; a[n_] := 3a[n - 1] + 5; Table[a[n], {n, 0, 30}] NestList[3#+5&, 1, 30] (* or *) LinearRecurrence[{4, -3}, {1, 8}, 30] (* Harvey P. Dale, Jul 20 2018 *) CROSSREFS Sequence in context: A048478 A001360 A294838 * A261478 A199207 A088131 Adjacent sequences:  A116949 A116950 A116951 * A116953 A116954 A116955 KEYWORD nonn,easy AUTHOR Parthasarathy Nambi, Mar 29 2006 EXTENSIONS More terms from Emeric Deutsch and Stefan Steinerberger, Apr 01 2006 More terms from Colin Barker, Jul 18 2013 STATUS approved

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Last modified June 16 14:16 EDT 2021. Contains 345057 sequences. (Running on oeis4.)