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 A047457 Numbers that are congruent to {3, 4} mod 8. 3
 3, 4, 11, 12, 19, 20, 27, 28, 35, 36, 43, 44, 51, 52, 59, 60, 67, 68, 75, 76, 83, 84, 91, 92, 99, 100, 107, 108, 115, 116, 123, 124, 131, 132, 139, 140, 147, 148, 155, 156, 163, 164, 171, 172, 179, 180, 187, 188, 195, 196, 203, 204, 211, 212, 219, 220, 227 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Union of A017101 and A017113. - Michel Marcus, Feb 25 2014 Numbers whose binary reflected Gray code (A014550) has a single trailing zero. - Amiram Eldar, May 17 2021 LINKS Table of n, a(n) for n=1..57. Index entries for linear recurrences with constant coefficients, signature (1,1,-1). FORMULA a(n) = 8*n - a(n-1) - 9 (with a(1) = 3). - Vincenzo Librandi, Aug 06 2010 G.f.: x*(3+x+4*x^2)/((1-x)^2*(1+x)). - Colin Barker, May 13 2012 a(n) = (-5 - 3*(-1)^n + 8*n)/2. - Colin Barker, May 14 2012 A000120(a(n)-1) = A000120(a(n)+1) = A063787(n). - Ilya Lopatin and Juri-Stepan Gerasimov, Feb 25 2014 Sum_{n>=1} (-1)^(n+1)/a(n) = (sqrt(2)-1)*Pi/16 + log(2)/4 - sqrt(2)*log(sqrt(2)+1)/8. - Amiram Eldar, Dec 18 2021 MAPLE A047457:=n->(-5 - 3*(-1)^n + 8*n)/2; seq(A047457(n), n=1..100); # Wesley Ivan Hurt, Mar 04 2014 MATHEMATICA Table[(-5 - 3*(-1)^n + 8*n)/2, {n, 100}] (* Wesley Ivan Hurt, Mar 04 2014 *) Flatten[Table[8n + {3, 4}, {n, 0, 29}]] (* Alonso del Arte, Mar 04 2014 *) CROSSREFS Cf. A000120, A014550, A017101, A017113, A047456 (superset), A063787. Sequence in context: A244005 A228236 A344346 * A226632 A098377 A075646 Adjacent sequences: A047454 A047455 A047456 * A047458 A047459 A047460 KEYWORD nonn,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified June 4 23:50 EDT 2023. Contains 363130 sequences. (Running on oeis4.)