A047346 Numbers that are congruent to {1, 4} mod 7.

1, 4, 8, 11, 15, 18, 22, 25, 29, 32, 36, 39, 43, 46, 50, 53, 57, 60, 64, 67, 71, 74, 78, 81, 85, 88, 92, 95, 99, 102, 106, 109, 113, 116, 120, 123, 127, 130, 134, 137, 141, 144, 148, 151, 155, 158, 162, 165, 169, 172, 176, 179, 183, 186, 190, 193, 197, 200, 204, 207, 211, 214

Offset

1,2

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

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

Formula

a(n) = floor( (7n-5)/2 ). - Santi Spadaro, Jul 24 2001

G.f.: x*(1 + 3*x + 3*x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Dec 04 2011

a(n) = 4n - 3 - floor(n/2). - Wesley Ivan Hurt, Oct 16 2013

E.g.f.: 3 + ((14*x - 11)*exp(x) - exp(-x))/4. - David Lovler, Sep 01 2022

Maple

A047346:=n->4*n-3-floor(n/2); seq(A047346(k), k=1..100); # Wesley Ivan Hurt, Oct 16 2013

Mathematica

Table[4n-3-Floor[n/2], {n, 100}] (* Wesley Ivan Hurt, Oct 16 2013 *)

Prog

(PARI) a(n) = 4*n-n\2-3; \\ Altug Alkan, Sep 10 2016

Crossrefs

Cf. A001106.

Sequence in context: A073302 A191105 A248232 * A198270 A214971 A081840

Adjacent sequences: A047343 A047344 A047345 * A047347 A047348 A047349

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved