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A084104 A period 6 sequence. 2
1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7, 7, 4, 1, 1, 4, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partial sums of A084103.

Terms of the simple continued fraction of 133/[sqrt(18530)-29]. Decimal expansion of 121/819. - Paolo P. Lava, Aug 05 2009

LINKS

Table of n, a(n) for n=0..104.

Index entries for linear recurrences with constant coefficients, signature (2,-2,1).

FORMULA

a(n)=1/30*{8*(n mod 6)+23*[(n+1) mod 6]+23*[(n+2) mod 6]+8*[(n+3) mod 6]-7*[(n+4) mod 6]-7*[(n+5) mod 6]}. - Paolo P. Lava, Oct 20 2006

Euler transform of length 6 sequence [ 4, -3, -1, 0, 0, 1]. - Michael Somos, Nov 07 2006

G.f.: (1+x)^3/((1-x)(1+x^3)).

G.f.:(1+x)^2/((1-x)*(1-x+x^2)). - Jaume Oliver Lafont, Aug 27 2009

PROG

(PARI) {a(n)=[1, 4, 7, 7, 4, 1][n%6+1]}

(PARI) a(n)=2*sqrt(3)*sin((n+5)*Pi/3)+4 \\ Jaume Oliver Lafont, Aug 27 2009

CROSSREFS

Cf. A084101, A007877.

Sequence in context: A176529 A086775 A132266 * A271026 A093582 A275639

Adjacent sequences:  A084101 A084102 A084103 * A084105 A084106 A084107

KEYWORD

easy,nonn

AUTHOR

Paul Barry, May 15 2003

STATUS

approved

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Last modified November 13 20:57 EST 2019. Contains 329106 sequences. (Running on oeis4.)