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A037692
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Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0,3.
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1
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1, 10, 80, 643, 5145, 41162, 329296, 2634371, 21074969, 168599754, 1348798032, 10790384259, 86323074073, 690584592586, 5524676740688, 44197413925507, 353579311404057, 2828634491232458, 22629075929859664, 181032607438877315
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OFFSET
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1,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (8,0,0,1,-8).
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FORMULA
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G.f.: ( x*(1+2*x+3*x^3) ) / ( (x-1)*(8*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Oct 11 2015
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MATHEMATICA
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CoefficientList[Series[(1 + 2*x + 3*x^3)/((x - 1)*(8*x - 1)*(1 + x)*(x^2 + 1)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Feb 02 2017 *)
LinearRecurrence[{8, 0, 0, 1, -8}, {1, 10, 80, 643, 5145}, 20] (* Vincenzo Librandi, Feb 03 2017 *)
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PROG
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(MAGMA) I:=[1, 10, 80, 643, 5145]; [n le 5 select I[n] else 8*Self(n-1)+Self(n-4)-8*Self(n-5): n in [1..20]]; // Vincenzo Librandi, Feb 03 2017
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CROSSREFS
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Sequence in context: A093145 A341917 A037509 * A126531 A200162 A165511
Adjacent sequences: A037689 A037690 A037691 * A037693 A037694 A037695
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KEYWORD
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nonn,base,easy
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AUTHOR
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Clark Kimberling
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STATUS
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approved
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