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 A069908 Numbers congruent to +-2, +-3, +-4 or +-5 mod 16. 4
 2, 3, 4, 5, 11, 12, 13, 14, 18, 19, 20, 21, 27, 28, 29, 30, 34, 35, 36, 37, 43, 44, 45, 46, 50, 51, 52, 53, 59, 60, 61, 62, 66, 67, 68, 69, 75, 76, 77, 78, 82, 83, 84, 85, 91, 92, 93, 94, 98, 99, 100, 101, 107, 108, 109, 110, 114, 115, 116, 117, 123 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 G. E. Andrews et al., q-Engel series expansions and Slater's identities Quaestiones Math., 24 (2001), 403-416. Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,1,-1). FORMULA G.f.: x*(2+x+x^2+x^3+6*x^4+x^5+x^6+x^7+2*x^8) / ( (1+x)*(x^2+1)*(x^4+1)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011 MATHEMATICA Select[Range[200], MemberQ[{2, 3, 4, 5, 11, 12, 13, 14}, Mod[#, 16]]&] (* Jean-François Alcover, Apr 09 2014 *) CoefficientList[Series[(2 + x + x^2 + x^3 + 6 x^4 + x^5 + x^6 + x^7 + 2 x^8)/((1 + x) (x^2 + 1) (x^4 + 1) (x - 1)^2), {x, 0, 80}], x] (* Vincenzo Librandi, Apr 10 2014 *) LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 1, -1}, {2, 3, 4, 5, 11, 12, 13, 14, 18}, 70] (* Harvey P. Dale, Dec 16 2015 *) CROSSREFS Cf. A069909, A069910, A069911. Sequence in context: A316538 A283206 A084545 * A130640 A214653 A234142 Adjacent sequences: A069905 A069906 A069907 * A069909 A069910 A069911 KEYWORD nonn AUTHOR N. J. A. Sloane, May 05 2002 STATUS approved

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Last modified July 21 22:43 EDT 2024. Contains 374478 sequences. (Running on oeis4.)