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 A082800 Smallest multiple of 4 beginning with n. 6
 12, 20, 32, 4, 52, 60, 72, 8, 92, 100, 112, 12, 132, 140, 152, 16, 172, 180, 192, 20, 212, 220, 232, 24, 252, 260, 272, 28, 292, 300, 312, 32, 332, 340, 352, 36, 372, 380, 392, 40, 412, 420, 432, 44, 452, 460, 472, 48, 492, 500, 512, 52, 532, 540, 552, 56 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (0,0,0,2,0,0,0,-1). FORMULA From Colin Barker, Mar 23 2017: (Start) G.f.: 4*x*(3 + 5*x + 8*x^2 + x^3 + 7*x^4 + 5*x^5 + 2*x^6) / ((1 - x)^2*(1 + x)^2*(1 + x^2)^2). a(n) = 2*a(n-4) - a(n-8) for n>8. (End) MATHEMATICA Table[If[Mod[n, 4]==0, n, If[Mod[10 n, 4]==0, 10 n, 10 n + 4 - Mod[10 n, 4]]], {n, 56}] (* Ray Chandler, Feb 09 2014 *) PROG (PARI) Vec(4*x*(3 + 5*x + 8*x^2 + x^3 + 7*x^4 + 5*x^5 + 2*x^6) / ((1 - x)^2*(1 + x)^2*(1 + x^2)^2) + O(x^60)) \\ Colin Barker, Mar 23 2017 CROSSREFS Cf. A082799, A082801, A082802, A082803, A082804. Sequence in context: A289980 A109547 A269453 * A026041 A082296 A187766 Adjacent sequences:  A082797 A082798 A082799 * A082801 A082802 A082803 KEYWORD nonn,base,easy AUTHOR Amarnath Murthy, Apr 20 2003 EXTENSIONS Extended by Ray Chandler, Feb 09 2014 Typo in Mathematica program fixed by Vincenzo Librandi, Feb 10 2014 STATUS approved

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