A262564 A politician's answer to the question "What comes next after 2,3,5?".

2, 3, 5, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75

Offset: 1

Author

N. J. A. Sloane, Oct 19 2015

Keywords

• nonn

Comments

The politician plans to legislate away the mistakes of the past and return to normalcy.

Links

• E. R. Berlekamp, A contribution to mathematical psychometrics, Unpublished Bell Labs Memorandum, Feb 08 1968 [Annotated scanned copy]
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A262565.

Programs

Haskell

a262564 n = a262564_list !! (n-1)
a262564_list = [2, 3, 5, 4] ++ [6..]  -- Reinhard Zumkeller, Oct 20 2015

Mathematica

CoefficientList[Series[(- x^5 + 3 x^4 - 3 x^3 + x^2 - x + 2)/(x - 1)^2, {x, 0, 75}], x] (* Vincenzo Librandi, Nov 04 2016 *)
LinearRecurrence[{2,-1},{2,3,5,4,6,7},80] (* Harvey P. Dale, Jul 31 2021 *)

Formula

G.f.: x*(-x^5 + 3*x^4 - 3*x^3 + x^2 - x + 2)/(x - 1)^2. - Chai Wah Wu, Nov 03 2016