The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A213490 Number of (w,x,y) with all terms in {0,...,n} and the numbers w,x,y,|w-x|,|x-y| distinct. 3
 0, 0, 0, 0, 0, 12, 38, 92, 160, 286, 422, 632, 870, 1194, 1542, 2010, 2502, 3126, 3788, 4598, 5446, 6472, 7532, 8786, 10092, 11604, 13164, 14964, 16812, 18912, 21074, 23504, 25996, 28786, 31634, 34796, 38034, 41598, 45234, 49230, 53298 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS a(n)+A213491(n)=(n+1)^3. For a guide to related sequences, see A212959. LINKS Index entries for linear recurrences with constant coefficients, signature (1,1,0,0,-2,0,0,1,1,-1). FORMULA a(n) = a(n-1)+a(n-2)-2*a(n-5)+a(n-8)+a(n-9)-a(n-10). G.f.: (12*x^5 + 26*x^6 + 42*x^7 + 30*x^8 + 34*x^9)/(1 - x - x^2 + 2*x^5 - x^8 - x^9 + x^10). MATHEMATICA t = Compile[{{n, _Integer}}, Module[{s = 0}, (Do[If[Length[Union[{w, x, y, Abs[w - x],   Abs[x - y]}]] == 5, s = s + 1], {w, 0, n}, {x, 0, n}, {y, 0, n}]; s)]]; m = Map[t[#] &, Range[0, 60]]   (* A213490 *) LinearRecurrence[{1, 1, 0, 0, -2, 0, 0, 1, 1, -1}, {0, 0, 0, 0, 0, 12, 38, 92, 160, 286}, 60] m/2 (* integers *) CROSSREFS Cf. A212959. Sequence in context: A079539 A242720 A212510 * A259517 A303619 A167712 Adjacent sequences:  A213487 A213488 A213489 * A213491 A213492 A213493 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 13 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 28 13:24 EDT 2020. Contains 337393 sequences. (Running on oeis4.)