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A037719 Base-7 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1,3. 2
2, 14, 99, 696, 4874, 34118, 238827, 1671792, 11702546, 81917822, 573424755, 4013973288, 28097813018, 196684691126, 1376792837883, 9637549865184, 67462849056290, 472239943394030, 3305679603758211, 23139757226307480, 161978300584152362, 1133848104089066534 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (8,-8,8,-7).

FORMULA

a(n) = 8*a(n-1) - 8*a(n-2) + 8*a(n-3) - 7*a(n-4).

From Colin Barker, Dec 24 2015: (Start)

a(n) = 1/100*(-(2-11*i)*(-i)^n-(2+11*i)*i^n+29*7^n-25) where i=sqrt(-1).

G.f.: x*(2-2*x+3*x^2) / ((1-x)*(1-7*x)*(1+x^2)).

(End)

PROG

(PARI) Vec(x*(2-2*x+3*x^2)/((1-x)*(1-7*x)*(1+x^2)) + O(x^30)) \\ Colin Barker, Dec 24 2015

CROSSREFS

Sequence in context: A304444 A247481 A037516 * A158811 A198280 A074620

Adjacent sequences:  A037716 A037717 A037718 * A037720 A037721 A037722

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified October 23 22:26 EDT 2019. Contains 328373 sequences. (Running on oeis4.)