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A037579 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,3. 1
1, 10, 71, 500, 3501, 24510, 171571, 1201000, 8407001, 58849010, 411943071, 2883601500, 20185210501, 141296473510, 989075314571, 6923527202000, 48464690414001, 339252832898010, 2374769830286071, 16623388812002500, 116363721684017501, 814546051788122510 (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 (7,1,-7).

FORMULA

a(n) = (5*7^n-3*(-1)^(n-1)-8)/24. a(n) = 7*a(n-1)+a(n-2)-7*a(n-3). G.f.: x*(3*x+1) / ((x-1)*(x+1)*(7*x-1)). - Colin Barker, Dec 27 2012; corrected Apr 30 2014

MAPLE

A037579:=n->(5*7^n-3*(-1)^(n-1)-8)/24; seq(A037579(n), n=1..30); # Wesley Ivan Hurt, Apr 29 2014

MATHEMATICA

CoefficientList[Series[(3 x + 1)/((x - 1) (x + 1) (7 x - 1)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 22 2013 *)

Table[FromDigits[PadRight[{}, n, {1, 3}], 7], {n, 30}] (* or *) LinearRecurrence[ {7, 1, -7}, {1, 10, 71}, 30] (* Harvey P. Dale, Dec 29 2019 *)

PROG

(MAGMA) [(5*7^n-3*(-1)^(n-1)-8)/24: n in [1..30]]; // Vincenzo Librandi, Oct 22 2013

CROSSREFS

Sequence in context: A129275 A049672 A221548 * A166791 A271035 A108276

Adjacent sequences:  A037576 A037577 A037578 * A037580 A037581 A037582

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Dec 11 1999

EXTENSIONS

More terms from Colin Barker, Dec 27 2012

STATUS

approved

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Last modified September 28 01:20 EDT 2020. Contains 337388 sequences. (Running on oeis4.)