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 A248341 10^n - 7^n. 0
 0, 3, 51, 657, 7599, 83193, 882351, 9176457, 94235199, 959646393, 9717524751, 98022673257, 986158712799, 9903110989593, 99321776927151, 995252438490057, 9966767069430399, 99767369486012793, 998371586402089551, 9988601104814626857 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..19. Index entries for linear recurrences with constant coefficients, signature (17,-70). FORMULA G.f.: 3*x/((1-7*x)*(1-10*x)). a(n) = 17*a(n-1) - 70*a(n-2). a(n) = A011557(n) - A000420(n). a(n+1) = 3*A016181(n). MATHEMATICA Table[10^n - 7^n, {n, 0, 25}] (* or *) CoefficientList[Series[3 x/((1 - 7 x) (1 - 10 x)), {x, 0, 30}], x] LinearRecurrence[{17, -70}, {0, 3}, 20] (* Harvey P. Dale, Dec 18 2020 *) PROG (Magma) [10^n-7^n: n in [0..30]]; CROSSREFS Cf. sequences of the form k^n-7^n: A016177 (k=8), A191467 (k=9), this sequence(k=10), A139745 (k=11). Cf. A016181. Sequence in context: A317455 A045489 A232453 * A145242 A182512 A075869 Adjacent sequences: A248338 A248339 A248340 * A248342 A248343 A248344 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Oct 05 2014 STATUS approved

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Last modified February 26 02:39 EST 2024. Contains 370335 sequences. (Running on oeis4.)