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A037580 Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,3. 1
1, 11, 89, 715, 5721, 45771, 366169, 2929355, 23434841, 187478731, 1499829849, 11998638795, 95989110361, 767912882891, 6143303063129, 49146424505035, 393171396040281, 3145371168322251, 25162969346578009, 201303754772624075, 1610430038180992601 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (8,1,-8).

FORMULA

a(n) = (11*8^n+7*(-1)^n-18)/63. a(n) = 8*a(n-1)+a(n-2)-8*a(n-3). G.f.: x*(3*x+1) / ((x-1)*(x+1)*(8*x-1)). [Colin Barker, Dec 27 2012]

MATHEMATICA

CoefficientList[Series[(3 x + 1)/((x - 1) (x + 1) (8 x - 1)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 22 2013 *)

Table[FromDigits[PadRight[{}, n, {1, 3}], 8], {n, 30}] (* Harvey P. Dale, May 15 2019 *)

PROG

(MAGMA) [(11*8^n+7*(-1)^n-18)/63: n in [1..30]]; // Vincenzo Librandi, Oct 22 2013

CROSSREFS

Sequence in context: A201117 A081657 A226854 * A155607 A110252 A199394

Adjacent sequences:  A037577 A037578 A037579 * A037581 A037582 A037583

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Colin Barker, Dec 27 2012

STATUS

approved

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Last modified August 9 22:18 EDT 2020. Contains 336326 sequences. (Running on oeis4.)