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a(n) = 24*n + 1.
6

%I #39 Apr 04 2024 10:41:57

%S 1,25,49,73,97,121,145,169,193,217,241,265,289,313,337,361,385,409,

%T 433,457,481,505,529,553,577,601,625,649,673,697,721,745,769,793,817,

%U 841,865,889,913,937,961,985,1009,1033,1057,1081,1105,1129,1153,1177,1201

%N a(n) = 24*n + 1.

%H Vincenzo Librandi, <a href="/A103214/b103214.txt">Table of n, a(n) for n = 0..3000</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

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

%F From _Elmo R. Oliveira_, Mar 21 2024: (Start)

%F G.f.: (1+23*x)/(1-x)^2.

%F E.g.f.: exp(x)*(1 + 24*x).

%F a(n) = A255185(n+1) - A255185(n).

%F a(n) = 2*a(n-1) - a(n-2) for n >= 2. (End)

%t Range[1, 2000, 24] (* _Vladimir Joseph Stephan Orlovsky_, Jun 14 2011 *)

%o (PARI) a(n)=24*n+1 \\ _Charles R Greathouse IV_, Jun 14 2011

%o (Magma) [24*n+1: n in [0..60]]; // _Vincenzo Librandi_, Jun 15 2011

%Y Equals A008606 + 1. Bisection of A017533.

%Y Cf. A255185.

%K nonn,easy

%O 0,2

%A _Ralf Stephan_, Jan 28 2005