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A045809 9-ish numbers (end in 13, 37, 59, 91).

%I A045809 #27 Feb 03 2024 13:01:52
%S A045809 13,37,59,91,113,137,159,191,213,237,259,291,313,337,359,391,413,437,
%T A045809 459,491,513,537,559,591,613,637,659,691,713,737,759,791,813,837,859,
%U A045809 891,913,937,959,991,1013,1037,1059,1091,1113,1137,1159,1191,1213,1237
%N A045809 9-ish numbers (end in 13, 37, 59, 91).
%H A045809 Reinhard Zumkeller, <a href="/A045809/b045809.txt">Table of n, a(n) for n = 1..1000</a>
%H A045809 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,1,-1).
%F A045809 G.f.: x*(13+24*x+22*x^2+32*x^3+9*x^4)/(1-x-x^4+x^5). - _Colin Barker_, Jan 23 2012
%F A045809 a(n) = (50*n+4*i^(n*(n-1))+3*(-1)^n-25)/2, where i=sqrt(-1). - _Bruno Berselli_, Feb 22 2012
%t A045809 CoefficientList[Series[(13 + 24*x + 22*x^2 + 32*x^3 + 9*x^4)/(1 - x - x^4 + x^5), {x, 0, 80}], x] (* _Wesley Ivan Hurt_, Jan 23 2017 *)
%t A045809 LinearRecurrence[{1,0,0,1,-1},{13,37,59,91,113},50] (* _Harvey P. Dale_, Feb 03 2024 *)
%o A045809 (Haskell)
%o A045809 import Data.List (findIndices)
%o A045809 a045809 n = a045809_list !! (n-1)
%o A045809 a045809_list = findIndices (`elem` [13,37,59,91]) $ cycle [0..99]
%o A045809 -- _Reinhard Zumkeller_, Jan 23 2012
%Y A045809 Cf. A045800-A045808, A045572, A045797, A045798.
%K A045809 nonn,base,easy
%O A045809 1,1
%A A045809 _J. H. Conway_
%E A045809 More terms from _Erich Friedman_.