A075419 Convolution of A073145 with A056594.
3, -1, -4, 6, -1, -7, 12, -8, -9, 31, -32, -10, 75, -95, 8, 160, -261, 111, 308, -682, 487, 505, -1676, 1656, 527, -3857, 4984, -602, -8237, 13825, -6192, -15872, 35891, -26209, -25556, 87654, -88305, -24903, 200860, -264264, 38503, 426623, -729392, 341270, 814747, -1885407, 1411928, 1288224
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (-1,-2,0,-1,1).
Programs
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Mathematica
CoefficientList[Series[(3 + 2x + x^2)/(1 + x + 2x^2 + x^4 - x^5), {x, 0, 50}], x] LinearRecurrence[{-1,-2,0,-1,1},{3,-1,-4,6,-1},50] (* Harvey P. Dale, Jul 27 2019 *)
Formula
a(n) = -a(n-1) - 2*a(n-2) - a(n-4) + a(n-5); a(0)=3, a(1)=-1, a(2)=-4, a(3)=6, a(4)=-1.
G.f.: (3 + 2*x + x^2)/(1 + x + 2*x^2 + x^4 - x^5).