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A047301 Numbers that are congruent to {0, 2, 3, 4, 6} mod 7. 0
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 (list; graph; refs; listen; history; text; internal format)
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 A175320

Adjacent sequences:  A047298 A047299 A047300 * A047302 A047303 A047304

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 23 07:37 EDT 2021. Contains 343201 sequences. (Running on oeis4.)