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A047300 Numbers that are congruent to {2, 3, 4, 6} mod 7. 1
2, 3, 4, 6, 9, 10, 11, 13, 16, 17, 18, 20, 23, 24, 25, 27, 30, 31, 32, 34, 37, 38, 39, 41, 44, 45, 46, 48, 51, 52, 53, 55, 58, 59, 60, 62, 65, 66, 67, 69, 72, 73, 74, 76, 79, 80, 81, 83, 86, 87, 88, 90, 93, 94, 95, 97, 100, 101, 102, 104, 107, 108, 109, 111 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..64.

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

FORMULA

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

From Wesley Ivan Hurt, Jun 02 2016: (Start)

a(n) = a(n-1) + a(n-4) - a(n-5) for n>5.

a(n) = (14*n-5-i^(2*n)-(1-3*i)*i^(-n)-(1+3*i)*i^n)/8 where i=sqrt(-1).

a(2k) = A047280(k), a(2k-1) = A047348(k). (End)

MAPLE

A047300:=n->(14*n-5-I^(2*n)-(1-3*I)*I^(-n)-(1+3*I)*I^n)/8: seq(A047300(n), n=1..100); # Wesley Ivan Hurt, Jun 02 2016

MATHEMATICA

Table[(14n-5-I^(2n)-(1-3*I)*I^(-n)-(1+3*I)*I^n)/8, {n, 80}] (* Wesley Ivan Hurt, Jun 02 2016 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 7 in [2, 3, 4, 6]]; // Wesley Ivan Hurt, Jun 02 2016

CROSSREFS

Cf. A047280, A047348.

Sequence in context: A135205 A145733 A111251 * A026439 A285082 A249602

Adjacent sequences:  A047297 A047298 A047299 * A047301 A047302 A047303

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 16 12:54 EDT 2021. Contains 343947 sequences. (Running on oeis4.)