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 A037691 Base-7 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0,3. 2
 1, 9, 63, 444, 3109, 21765, 152355, 1066488, 7465417, 52257921, 365805447, 2560638132, 17924466925, 125471268477, 878298879339, 6148092155376, 43036645087633, 301256515613433, 2108795609294031, 14761569265058220, 103330984855407541, 723316893987852789 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Colin Barker, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (7,0,0,1,-7). FORMULA a(n) = 7*a(n-1) + a(n-4) - 7*a(n-5). From Colin Barker, Dec 24 2015: (Start) a(n) = 1/200*(25*(-1)^n-(6-8*i)*(-i)^n-(6+8*i)*i^n+37*7^n-50) where i=sqrt(-1). G.f.: x*(1+2*x+3*x^3) / ((1-x)*(1+x)*(1-7*x)*(1+x^2)). (End) MATHEMATICA Table[FromDigits[PadRight[{}, n, {1, 2, 0, 3}], 7], {n, 30}] (* Harvey P. Dale, May 24 2017 *) PROG (PARI) Vec(x*(1+2*x+3*x^3)/((1-x)*(1+x)*(1-7*x)*(1+x^2)) + O(x^30)) \\ Colin Barker, Dec 24 2015 CROSSREFS Sequence in context: A201885 A225964 A037508 * A206816 A336670 A065025 Adjacent sequences: A037688 A037689 A037690 * A037692 A037693 A037694 KEYWORD nonn,base,easy AUTHOR Clark Kimberling STATUS approved

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Last modified July 15 09:15 EDT 2024. Contains 374324 sequences. (Running on oeis4.)