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 A083224 a(n) = (6*7^n + (-7)^n)/7. 3
 1, 5, 49, 245, 2401, 12005, 117649, 588245, 5764801, 28824005, 282475249, 1412376245, 13841287201, 69206436005, 678223072849, 3391115364245, 33232930569601, 166164652848005, 1628413597910449, 8142067989552245 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..300 Index entries for linear recurrences with constant coefficients, signature (0,49). FORMULA a(n) = (6*7^n + (-7)^n)/7. G.f.: (1+5*x)/((1+7*x)*(1-7*x)). E.g.f.: (6*exp(7*x) + exp(-7*x))/7. MATHEMATICA LinearRecurrence[{0, 49}, {1, 5}, 30] (* Harvey P. Dale, Oct 12 2018 *) PROG (Magma) [(6*7^n+(-7)^n)/7: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011 CROSSREFS Cf. A083223, A083225. Sequence in context: A196326 A273385 A058927 * A352371 A201358 A242035 Adjacent sequences: A083221 A083222 A083223 * A083225 A083226 A083227 KEYWORD easy,nonn AUTHOR Paul Barry, Apr 23 2003 STATUS approved

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Last modified September 19 02:20 EDT 2024. Contains 376003 sequences. (Running on oeis4.)