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A087935 Perrin sequence of order 5. 3
5, 0, 0, 0, 4, 5, 0, 0, 4, 9, 5, 0, 4, 13, 14, 5, 4, 17, 27, 19, 9, 21, 44, 46, 28, 30, 65, 90, 74, 58, 95, 155, 164, 132, 153, 250, 319, 296, 285, 403, 569, 615, 581, 688, 972, 1184, 1196, 1269, 1660, 2156, 2380, 2465, 2929, 3816, 4536, 4845, 5394, 6745, 8352, 9381 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

If p is prime, p divides a(p).

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

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

FORMULA

a(0)=5, a(1)=a(2)=a(3)=0, a(n)=a(n-4)+a(n-5); a(n)=(x_1)^n+(x_2)^n+(x_3)^n+(x_4)^n+(x_5)^n where (x_i) 1<=i<=5 are the roots of x^5=x+1

G.f.: (x^4-5) / (x^5+x^4-1). - Colin Barker, Jun 16 2013

MATHEMATICA

LinearRecurrence[{0, 0, 0, 1, 1}, {5, 0, 0, 0, 4}, 60] (* Harvey P. Dale, Oct 03 2016 *)

CROSSREFS

Cf. A001608, A050443.

Cf. A087936

Sequence in context: A229656 A216722 A036297 * A243829 A318952 A089877

Adjacent sequences:  A087932 A087933 A087934 * A087936 A087937 A087938

KEYWORD

nonn,easy

AUTHOR

Benoit Cloitre, Oct 27 2003

STATUS

approved

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Last modified February 23 12:03 EST 2019. Contains 320431 sequences. (Running on oeis4.)