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 A155661 10^n-7^n+1. 13
 1, 4, 52, 658, 7600, 83194, 882352, 9176458, 94235200, 959646394, 9717524752, 98022673258, 986158712800, 9903110989594, 99321776927152, 995252438490058, 9966767069430400, 99767369486012794, 998371586402089552 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (18,-87,70). FORMULA G.f.: 1/(1-10*x)-1/(1-7*x)+1/(1-x). E.g.f.: e^(10*x)-e^(7*x)+e^x. a(n)=17*a(n-1)-70*a(n-2)+54 with a(0)=1, a(1)=4 - Vincenzo Librandi, Jul 21 2010 a(0)=1, a(1)=4, a(2)=52, a(n)=18a(n-1)-87a(n-2)+70a(n-3) [From Harvey P. Dale, May 05 2011] MATHEMATICA Table[10^n-7^n+1, {n, 0, 20}] (* or *) LinearRecurrence[{18, -87, 70}, {1, 4, 52}, 21] (* Harvey P. Dale, May 05 2011 *) PROG (PARI) a(n)=10^n-7^n+1 \\ Charles R Greathouse IV, Jun 11 2015 CROSSREFS Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660. Sequence in context: A247746 A221727 A144339 * A198281 A220933 A222321 Adjacent sequences:  A155658 A155659 A155660 * A155662 A155663 A155664 KEYWORD nonn,easy AUTHOR Mohammad K. Azarian, Jan 31 2009 STATUS approved

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