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 A154815 Period 6: repeat [8, 7, 4, 5, 2, 1]. 2
 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7, 4, 5, 2, 1, 8, 7 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Obtained through reversion of the period in A153990, or by taking a half period of A154811. Shares digits with other 6-periodic sequences, see the list in A153130. Also the decimal expansion of the constant 97169/111111. [R. J. Mathar, Jan 23 2009] Terms of the simple continued fraction of 2710/(sqrt(4579599)-1807). [Paolo P. Lava, Feb 17 2009] LINKS Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1). FORMULA a(n) = (1/15)*{-13*(n mod 6)+7*[(n+1) mod 6]+12*[(n+2) mod 6]+2*[(n+3) mod 6]+12*[(n+4) mod 6]+7*[(n+5) mod 6]}. [Paolo P. Lava, Jan 16 2009] a(n) = (8*A153990(n)) mod 9. G.f.: (8+7*x+4*x^2+5*x^3+2*x^4+x^5)/((1-x)*(1+x)*(1+x+x^2)(x^2-x+1)). [R. J. Mathar, Jan 23 2009] From Wesley Ivan Hurt, Jun 23 2016: (Start) a(n) = a(n-6) for n>5. a(n) = (27 + cos(n*Pi) + 8*cos(n*Pi/3) + 12*cos(2*n*Pi/3) + 8*sqrt(3)*sin(n*Pi/3) + 4*sqrt(3)*sin(2*n*Pi/3))/6. (End) MAPLE A154815:=n->[8, 7, 4, 5, 2, 1][(n mod 6)+1]: seq(A154815(n), n=0..100); # Wesley Ivan Hurt, Jun 23 2016 MATHEMATICA PadRight[{}, 100, {8, 7, 4, 5, 2, 1}] (* Wesley Ivan Hurt, Jun 23 2016 *) PROG (MAGMA) &cat [[8, 7, 4, 5, 2, 1]^^20]; // Wesley Ivan Hurt, Jun 23 2016 CROSSREFS Cf. A153130, A153990, A154811. Sequence in context: A072102 A274442 A249136 * A085848 A008960 A077744 Adjacent sequences:  A154812 A154813 A154814 * A154816 A154817 A154818 KEYWORD nonn,easy AUTHOR Paul Curtz, Jan 15 2009 EXTENSIONS Edited by R. J. Mathar, Jan 23 2009 STATUS approved

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Last modified July 23 20:44 EDT 2019. Contains 325264 sequences. (Running on oeis4.)