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 A293481 Numbers with last digit greater than or equal to 5 (in base 10). 2
 5, 6, 7, 8, 9, 15, 16, 17, 18, 19, 25, 26, 27, 28, 29, 35, 36, 37, 38, 39, 45, 46, 47, 48, 49, 55, 56, 57, 58, 59, 65, 66, 67, 68, 69, 75, 76, 77, 78, 79, 85, 86, 87, 88, 89, 95, 96, 97, 98, 99, 105, 106, 107, 108, 109, 115, 116, 117, 118, 119, 125, 126, 127, 128, 129 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Equivalently, numbers k such that floor(k/5) is odd. Also numbers k such that ceiling(-k/5) is odd. - Peter Luschny, Oct 10 2017 LINKS Colin Barker, Table of n, a(n) for n = 1..500 Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1). FORMULA G.f.: x*(5 + x + x^2 + x^3 + x^4 + x^5)/((1 - x)^2*(1 + x + x^2 + x^3 + x^4)). a(n) = a(n-1) + a(n-5) - a(n-6). a(n) = A293292(n) + 5. MAPLE select(n -> type(ceil(-n/5), odd), [\$0..130]); # Peter Luschny, Oct 10 2017 MATHEMATICA LinearRecurrence[{1, 0, 0, 0, 1, -1}, {5, 6, 7, 8, 9, 15}, 70] (* Second program: *) Select[Range[129], Mod[#, 10] >= 5 &] (* Jean-François Alcover, Oct 10 2017 *) PROG (MAGMA) [n: n in [0..150] | n mod 10 ge 5]; (PARI) select(k -> (k\5) % 2, vector(130, k, k)) \\ Peter Luschny, Oct 10 2017 (PARI) Vec(x*(5 + x + x^2 + x^3 + x^4 + x^5)/((1 - x)^2*(1 + x + x^2 + x^3 + x^4)) + O(x^100)) \\ Colin Barker, Oct 10 2017 (Python) [k for k in range(130) if (k//5) % 2 == 1] # Peter Luschny, Oct 10 2017 (Sage) [k for k in (0..130) if not 2.divides(k//5)] # Peter Luschny, Oct 10 2017 CROSSREFS Complement of A293292. Cf. A010122 (first differences, after 3). Sequence in context: A121537 A285219 A047577 * A174138 A108401 A125298 Adjacent sequences:  A293478 A293479 A293480 * A293482 A293483 A293484 KEYWORD nonn,base,easy AUTHOR Bruno Berselli, Oct 10 2017 STATUS approved

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Last modified September 20 16:50 EDT 2021. Contains 347586 sequences. (Running on oeis4.)