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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 Sum_{n>=2} (-1)^n/a(n) = (8-sqrt(2))*log(2)/16 + sqrt(2)*log(2+sqrt(2))/8 - (3-sqrt(2))*Pi/16. - Amiram Eldar, Dec 23 2021 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 September 28 14:18 EDT 2023. Contains 365735 sequences. (Running on oeis4.)