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A152856 Periodic sequence [4,0,4,3,4] of period 5 1
4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4, 4, 0, 4, 3, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..69.

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

FORMULA

a(n+5) = a(n) with a(0) = a(2) = a(4) = 4, a(1) = 0 and a(3) = 3

a(n) = 3+(1/2-3/10*5^(1/2))*cos(2*n*Pi/5)+(-1/10*(4*(5+5^(1/2))^(1/2)-(5-5^(1/2))^(1/2))*2^(1/2))*sin(2*n*Pi/5)+(3/10*5^(1/2)+1/2)*cos(4*n*Pi/5)+(-1/10*((5+5^(1/2))^(1/2)+4*(5-5^(1/2))^(1/2))*2^(1/2))*sin(4*n*Pi/5)

o.g.f f(z) = (4+4*z^2+3*z^3+4*z^4)/(1-z^5)

a(n)=(1/10)*{3*(n mod 5)+[(n+1) mod 5]+5*[(n+2) mod 5]-5*[(n+3) mod 5]+11*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava, Dec 15 2008]

MATHEMATICA

PadRight[{}, 100, {4, 0, 4, 3, 4}] (* Harvey P. Dale, Jun 08 2014 *)

CROSSREFS

A026042

Sequence in context: A238002 A016680 A062524 * A031362 A198414 A309721

Adjacent sequences: A152853 A152854 A152855 * A152857 A152858 A152859

KEYWORD

easy,nonn

AUTHOR

Richard Choulet, Dec 14 2008

STATUS

approved

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Last modified December 3 09:50 EST 2022. Contains 358517 sequences. (Running on oeis4.)