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A037639
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Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,1.
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1
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2, 11, 45, 182, 731, 2925, 11702, 46811, 187245, 748982, 2995931, 11983725, 47934902, 191739611, 766958445, 3067833782, 12271335131, 49085340525, 196341362102, 785365448411, 3141461793645, 12565847174582, 50263388698331
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OFFSET
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1,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index to sequences with linear recurrences with constant coefficients, signature (4,0,1,-4).
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FORMULA
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G.f. x*(x+2)*(1+x) / ( (x-1)*(4*x-1)*(1+x+x^2) ). - R. J. Mathar, Nov 21 2011
a(n) = 4*a(n-1) + a(n-3) - 4*a(n-4). Vincenzo Librandi, Jun 17 2012
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MATHEMATICA
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LinearRecurrence[{4, 0, 1, -4}, {2, 11, 45, 182}, 40] (* Vincenzo Librandi, Jun 17 2012 *)
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PROG
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(MAGMA) I:=[2, 11, 45, 182]; [n le 4 select I[n] else 4*Self(n-1)+Self(n-3)-4*Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jun 17 2012
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CROSSREFS
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Sequence in context: A209604 A120279 A037751 * A000176 A042927 A140305
Adjacent sequences: A037636 A037637 A037638 * A037640 A037641 A037642
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KEYWORD
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nonn,base
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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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