A305002 Expansion of (1 + 20*x + 30*x^2 + 50*x^3 + 7*x^4 + 10*x^5)/((1 - x)*(1 + x^4)).

1, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51, 101, 107, 97, 67, 17, 11, 21, 51

Offset

0,2

Comments

After the first term, the sequence is periodic with period 8: repeat {21, 51, 101, 107, 97, 67, 17, 11}.

Links

Table of n, a(n) for n=0..66.

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

Formula

G.f.: (1 + 20*x + 30*x^2 + 50*x^3 + 7*x^4 + 10*x^5)/((1 - x)*(1 + x^4)).

Mathematica

CoefficientList[Series[(1 + 20 x + 30 x^2 + 50 x^3 + 7 x^4 + 10 x^5)/((1 - x) (1 + x^4)), {x, 0, 100}], x]

Crossrefs

Sequence in context: A053178 A166150 A224334 * A242236 A235877 A146838

Adjacent sequences: A304999 A305000 A305001 * A305003 A305004 A305005

Keyword

nonn,easy

Author

Shara Lalo, May 23 2018

Status

approved