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5-Stohr sequence.
6

%I #23 Jun 20 2024 22:33:16

%S 1,2,4,8,16,32,63,94,125,156,187,218,249,280,311,342,373,404,435,466,

%T 497,528,559,590,621,652,683,714,745,776,807,838,869,900,931,962,993,

%U 1024,1055,1086,1117,1148,1179,1210,1241,1272,1303,1334,1365,1396,1427

%N 5-Stohr sequence.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/StoehrSequence.html">Stoehr Sequence.</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).

%F Terms are 2^(n-1) up to a(6) and then 31n-154.

%F a(n) = 31*n-154 for n>5. a(n) = 2*a(n-1)-a(n-2) for n>7. G.f.: x*(15*x^6+8*x^5+4*x^4+2*x^3+x^2+1)/(x-1)^2. - _Colin Barker_, Sep 19 2012

%t Join[{1,2,4,8,16,32}, Range[63, 2000, 31]] (* _Vladimir Joseph Stephan Orlovsky_, Jun 15 2011 *)

%t LinearRecurrence[{2,-1},{1,2,4,8,16,32,63},60] (* _Harvey P. Dale_, Sep 14 2015 *)

%o (PARI) a(n)=if(n>6,31*n-154,2^(n-1)) \\ _Charles R Greathouse IV_, Jun 20 2024

%Y Cf. A062001, A033627, A026474, A051039.

%K nonn,easy

%O 1,2

%A _Eric W. Weisstein_

%E Corrected by _Henry Bottomley_, May 29 2001