

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
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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)/((1x)^2*(1+x)*(1+x^2)).
a(n) = (5+(1)^ni*(i)^n+i*i^n+8*n)/4 where i=sqrt(1). (End)
From Wesley Ivan Hurt, Jun 04 2016: (Start)
a(n) = a(n1) + a(n4)  a(n5) for n>5.
a(2k) = A004767(k1) for n>0, a(2k1) = 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



