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%I #18 Aug 03 2024 17:00:35
%S 1,2,16,170,1696,15962,144496,1273610,11012416,93864122,791266576,
%T 6612607850,54878189536,452866803482,3719823438256,30436810578890,
%U 248242046141056,2019169299698042,16385984911571536,132716292890482730,1073129238309234976,8664826172771491802
%N a(n) = 8^n - 7^n + 1.
%H Paolo Xausa, <a href="/A155659/b155659.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (16,-71,56).
%F G.f.: 1/(1-8*x)-1/(1-7*x)+1/(1-x).
%F E.g.f.: exp(8*x)-exp(7*x)+exp(x).
%F a(n) = 15*a(n-1)-56*a(n-2)+42 with a(0) = 1, a(1) = 2. - _Vincenzo Librandi_, Jul 21 2010
%t Table[8^n - 7^n + 1, {n, 0, 25}] (* _Paolo Xausa_, Aug 03 2024 *)
%o (PARI) a(n)=8^n-7^n+1 \\ _Charles R Greathouse IV_, Jun 11 2015
%Y Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658.
%K nonn,easy
%O 0,2
%A _Mohammad K. Azarian_, Jan 31 2009