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A047485 Numbers that are congruent to {0, 3, 5, 7} mod 8. 1
0, 3, 5, 7, 8, 11, 13, 15, 16, 19, 21, 23, 24, 27, 29, 31, 32, 35, 37, 39, 40, 43, 45, 47, 48, 51, 53, 55, 56, 59, 61, 63, 64, 67, 69, 71, 72, 75, 77, 79, 80, 83, 85, 87, 88, 91, 93, 95, 96, 99, 101, 103, 104, 107, 109, 111, 112, 115, 117, 119, 120, 123, 125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..63.

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

FORMULA

From Colin Barker, May 14 2012: (Start)

G.f.: x^2*(3+2*x+2*x^2+x^3)/((1-x)^2*(1+x)*(1+x^2)).

a(n) = (-5+(-1)^n-i*(-i)^n+i*i^n+8*n)/4 where i=sqrt(-1). (End)

From Wesley Ivan Hurt, Jun 04 2016: (Start)

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

a(2k) = A004767(k-1) for n>0, a(2k-1) = A047615(k). (End)

E.g.f.: (2 - sin(x) + (4*x - 3)*sinh(x) + (4*x - 2)*cosh(x))/2. - Ilya Gutkovskiy, Jun 04 2016

MAPLE

A047485:=n->(-5+I^(2*n)-I*(-I)^n+I*I^n+8*n)/4: seq(A047485(n), n=1..100); # Wesley Ivan Hurt, Jun 04 2016

MATHEMATICA

Select[Range[0, 120], MemberQ[{0, 3, 5, 7}, Mod[#, 8]]&] (* Harvey P. Dale, May 20 2011 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 8 in [0, 3, 5, 7]]; // Wesley Ivan Hurt, Jun 04 2016

CROSSREFS

Cf. A004767, A047615.

Sequence in context: A190061 A288624 A168162 * A024969 A296233 A276112

Adjacent sequences:  A047482 A047483 A047484 * A047486 A047487 A047488

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified December 3 11:54 EST 2020. Contains 338900 sequences. (Running on oeis4.)