A047301 - OEIS

A047301

Numbers that are congruent to {0, 2, 3, 4, 6} mod 7.

0, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16, 17, 18, 20, 21, 23, 24, 25, 27, 28, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 45, 46, 48, 49, 51, 52, 53, 55, 56, 58, 59, 60, 62, 63, 65, 66, 67, 69, 70, 72, 73, 74, 76, 77, 79

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..57.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1).

FORMULA

G.f. x^2*(2+x+x^2+2*x^3+x^4) / ( (x^4+x^3+x^2+x+1)*(x-1)^2 ). - R. J. Mathar, Oct 25 2011

a(n) = n + A057354(n-2). [Wesley Ivan Hurt, Jul 23 2013]

MAPLE

seq(k+floor((2/5)*(k-2)), k=1..70); # Wesley Ivan Hurt, Jul 23 2013

MATHEMATICA

LinearRecurrence[{1, 0, 0, 0, 1, -1}, {0, 2, 3, 4, 6, 7}, 60] (* Harvey P. Dale, May 08 2015 *)

CROSSREFS

Cf. A057354.

Sequence in context: A070118 A070124 A059097 * A186275 A214857 A362443

Adjacent sequences: A047298 A047299 A047300 * A047302 A047303 A047304

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved