A083673 - OEIS

A083673

First differences have period 6: 2,-1,3,4,-3,7, 2,-1,3,4,-3,7, 2,-1,...

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

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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) = 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