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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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Last modified August 18 06:33 EDT 2017. Contains 290684 sequences.