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A051040
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5-Stohr sequence.
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6
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1, 2, 4, 8, 16, 32, 63, 94, 125, 156, 187, 218, 249, 280, 311, 342, 373, 404, 435, 466, 497, 528, 559, 590, 621, 652, 683, 714, 745, 776, 807, 838, 869, 900, 931, 962, 993, 1024, 1055, 1086, 1117, 1148, 1179, 1210, 1241, 1272, 1303, 1334, 1365, 1396, 1427
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..51.
Eric Weisstein's World of Mathematics, Stoehr Sequence.
Index entries for linear recurrences with constant coefficients, signature (2,-1).
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FORMULA
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Terms are 2^(n-1) up to a(6) and then 31n-154.
a(n) = 31*n-154 for n>5. a(n) = 2*a(n-1)-a(n-2) for n>7. G.f.: x*(15*x^6+8*x^5+4*x^4+2*x^3+x^2+1)/(x-1)^2. [Colin Barker, Sep 19 2012]
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MATHEMATICA
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Join[{1, 2, 4, 8, 16, 32}, Range[63, 2000, 31]] (* Vladimir Joseph Stephan Orlovsky, Jun 15 2011 *)
LinearRecurrence[{2, -1}, {1, 2, 4, 8, 16, 32, 63}, 60] (* Harvey P. Dale, Sep 14 2015 *)
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CROSSREFS
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Cf. A062001, A033627, A026474, A051039.
Sequence in context: A111663 A054043 A052396 * A006261 A290987 A145112
Adjacent sequences: A051037 A051038 A051039 * A051041 A051042 A051043
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KEYWORD
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nonn,easy
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AUTHOR
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Eric W. Weisstein
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EXTENSIONS
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Corrected by Henry Bottomley, May 29 2001
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STATUS
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approved
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