A051039 4-Stohr sequence.

1, 2, 4, 8, 16, 31, 46, 61, 76, 91, 106, 121, 136, 151, 166, 181, 196, 211, 226, 241, 256, 271, 286, 301, 316, 331, 346, 361, 376, 391, 406, 421, 436, 451, 466, 481, 496, 511, 526, 541, 556, 571, 586, 601, 616, 631, 646, 661, 676, 691, 706, 721, 736, 751

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Stoehr Sequence.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

a(n) = 15*n-59 for n>4. a(n) = 2*a(n-1)-a(n-2) for n>6. G.f.: x*(7*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}, Range[16, 3001, 15]] (* Vladimir Joseph Stephan Orlovsky, Jan 27 2012 *)
LinearRecurrence[{2, -1}, {1, 2, 4, 8, 16, 31}, 60] (* Harvey P. Dale, Dec 25 2016 *)

Prog

(PARI) a(n)=if(n>4, 15*n-59, 2^(n-1)) \\ Charles R Greathouse IV, Jun 20 2024

Crossrefs

Cf. A033627, A026474, A051040.

Sequence in context: A018763 A054517 A054016 * A325730 A325749 A056183

Adjacent sequences: A051036 A051037 A051038 * A051040 A051041 A051042

Keyword

nonn,easy

Author

Eric W. Weisstein

Status

approved