A051040 5-Stohr sequence.

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

Offset

1,2

Links

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).

Formula

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

Mathematica

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 *)

Prog

(PARI) a(n)=if(n>6, 31*n-154, 2^(n-1)) \\ Charles R Greathouse IV, Jun 20 2024

Crossrefs

Cf. A062001, A033627, A026474, A051039.

Sequence in context: A111663 A054043 A052396 * A006261 A290987 A145112

Adjacent sequences: A051037 A051038 A051039 * A051041 A051042 A051043

Keyword

nonn,easy

Author

Eric W. Weisstein

Extensions

Corrected by Henry Bottomley, May 29 2001

Status

approved