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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
G. E. Andrews et al., q-Engel series expansions and Slater's identities Quaestiones Math., 24 (2001), 403-416.
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
Sequence in context: A316538 A283206 A084545 * A130640 A214653 A234142
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.)