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A083673 First differences have period 6: 2,-1,3,4,-3,7, 2,-1,3,4,-3,7, 2,-1,... 0
2, 4, 3, 6, 10, 7, 14, 16, 15, 18, 22, 19, 26, 28, 27, 30, 34, 31, 38, 40, 39, 42, 46, 43, 50, 52, 51, 54, 58, 55, 62, 64, 63, 66, 70, 67, 74, 76, 75, 78, 82, 79, 86, 88, 87, 90, 94, 91, 98, 100, 99, 102, 106, 103, 110, 112, 111, 114, 118, 115, 122, 124, 123, 126, 130, 127, 134, 136 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..68.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,1,-1).

FORMULA

a(n+6) = a(n) + 12.

a(n) = -5+Sum_{k=0..n}{(1/30)*(-46*(k mod 6)+39*((k+1) mod 6)-((k+2) mod 6)-16*((k+3) mod 6)+19*((k+4) mod 6)+29*((k+5) mod 6)} - Paolo P. Lava, Aug 29 2007

a(n) = a(n-1)+a(n-6)-a(n-7). G.f.: x*(5*x^6-3*x^5+4*x^4+3*x^3-x^2+2*x+2) / ((x-1)^2*(x+1)*(x^2-x+1)*(x^2+x+1)). - Colin Barker, Jul 31 2013

MATHEMATICA

LinearRecurrence[{1, 0, 0, 0, 0, 1, -1}, {2, 4, 3, 6, 10, 7, 14}, 70] (* Harvey P. Dale, Jan 16 2015 *)

CROSSREFS

Sequence in context: A333029 A175498 A318452 * A327120 A131388 A131393

Adjacent sequences:  A083670 A083671 A083672 * A083674 A083675 A083676

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jun 15 2003

STATUS

approved

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Last modified September 20 02:19 EDT 2021. Contains 347577 sequences. (Running on oeis4.)