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A076119 Every second sector of a dartboard, starting at the top (20) and working around clockwise. 2
20, 18, 13, 10, 2, 3, 7, 8, 14, 12, 20, 18, 13, 10, 2, 3, 7, 8, 14, 12, 20, 18, 13, 10, 2, 3, 7, 8, 14, 12, 20, 18, 13, 10, 2, 3, 7, 8, 14, 12, 20, 18, 13, 10, 2, 3, 7, 8, 14, 12, 20, 18, 13, 10, 2, 3, 7, 8, 14, 12, 20, 18, 13, 10, 2, 3, 7, 8, 14, 12, 20, 18, 13, 10, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Period 10: repeat [20,18,13,10,2,3,7,8,14,12]. - Wesley Ivan Hurt, Jul 15 2015

LINKS

Table of n, a(n) for n=1..75.

Wikipedia, Dartboard

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

FORMULA

G.f.: x*(20+18*x+13*x^2+10*x^3+2*x^4+3*x^5+7*x^6+8*x^7+14*x^8+12*x^9) / (1-x^10). a(n) = a(n-10), n>10. - Wesley Ivan Hurt, Jul 15 2015

MAPLE

A076119:=n->[20, 18, 13, 10, 2, 3, 7, 8, 14, 12][(n mod 10)+1]: seq(A076119(n), n=0..100); # Wesley Ivan Hurt, Jul 15 2015

MATHEMATICA

CoefficientList[Series[(20 + 18 x + 13 x^2 + 10 x^3 + 2 x^4 + 3 x^5 + 7 x^6 + 8 x^7 + 14 x^8 + 12 x^9)/(1 - x^10), {x, 0, 100}], x] (* Wesley Ivan Hurt, Jul 15 2015 *)

PROG

(MAGMA) R:=[20, 18, 13, 10, 2, 3, 7, 8, 14, 12]; [n le 10 select R[n] else Self(n-10): n in [1..100]]; // Wesley Ivan Hurt, Jul 15 2015

(MAGMA) &cat [[20, 18, 13, 10, 2, 3, 7, 8, 14, 12]: n in [1..7]]; // Vincenzo Librandi, Jul 16 2015

(PARI) a(n)=[12, 20, 18, 13, 10, 2, 3, 7, 8, 14][n%10+1] \\ Charles R Greathouse IV, Aug 20 2015

CROSSREFS

Cf. A003833.

Sequence in context: A040382 A223283 A327788 * A004509 A248942 A022976

Adjacent sequences:  A076116 A076117 A076118 * A076120 A076121 A076122

KEYWORD

nonn,easy,changed

AUTHOR

Darren Izzard (zysyshelp(AT)yahoo.com), Oct 31 2002

STATUS

approved

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Last modified August 1 07:45 EDT 2021. Contains 346384 sequences. (Running on oeis4.)