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A304580 Period length 16: repeat 1,8,3,6,5,4,7,2,9,0,7,2,5,4,3,6. 2
1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 7, 2, 5, 4, 3, 6, 1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 7, 2, 5, 4, 3, 6, 1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 7, 2, 5, 4, 3, 6, 1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 7, 2, 5, 4, 3, 6, 1, 8, 3, 6, 5, 4, 7, 2, 9, 0, 7, 2, 5, 4, 3, 6, 1, 8, 3, 6, 5, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Repeating sequences of alternating odd and even single digits that in pairs sum to 9, 11 or 7.  Note that 1836547290725436 = 20202020197979796 / 11.

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

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

FORMULA

From Colin Barker, May 28 2018: (Start)

G.f.: x*(1 + 8*x + 2*x^2 - 2*x^3 + 2*x^4 - 2*x^5 + 2*x^6 - 2*x^7 + 3*x^8 + 6*x^9) / ((1 - x)*(1 + x)*(1 + x^8)).

a(n) = a(n-2) - a(n-8) + a(n-10) for n>10.

(End)

PROG

(PARI) Vec(x*(1 + 8*x + 2*x^2 - 2*x^3 + 2*x^4 - 2*x^5 + 2*x^6 - 2*x^7 + 3*x^8 + 6*x^9) / ((1 - x)*(1 + x)*(1 + x^8)) + O(x^50)) \\ Colin Barker, May 28 2018

CROSSREFS

Cf. A172423, A172430, A304583.

Sequence in context: A005601 A321098 A308741 * A304583 A104697 A228211

Adjacent sequences:  A304577 A304578 A304579 * A304581 A304582 A304583

KEYWORD

nonn,easy

AUTHOR

Halfdan Skjerning, May 15 2018

STATUS

approved

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Last modified December 11 18:49 EST 2019. Contains 329925 sequences. (Running on oeis4.)