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A241689
Number of Sidon subsets of {1,...,n} of size 5.
1
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 22, 68, 156, 320, 584, 1008, 1622, 2520, 3734, 5428, 7612, 10488, 14126, 18744, 24390, 31436, 39914, 50212, 62390, 76932, 93918, 113960, 137058, 163896, 194632, 229988, 270018, 315712, 367106, 425220, 490164, 563080, 644096
OFFSET
1,12
COMMENTS
A Sidon set is a set of natural numbers A={a_1,a_2,...}, finite or infinite, such that all pairwise sums a_i+a_j (i <= j) are different.
EXAMPLE
a(12)=4 since the only subsets of {1,...,12} satisfying the required conditions are {1,2,5,10,12}, {1,3,8,9,12}, {1,3,8,11,12}, and {1,4,5,10,12}.
MATHEMATICA
SidonQ[l__] := If[Length[Join[Plus @@@ Subsets[l, {2}], 2 l]] == Length[Union[Join[Plus @@@ Subsets[l, {2}], 2 l]]], True, False]
Table[Length@Select[Subsets[Range[n], {5}], SidonQ[#] &], {n, 1, 30}]
CROSSREFS
Cf. A054578.
Sequence in context: A174814 A106846 A086863 * A052149 A062966 A347722
KEYWORD
nonn
AUTHOR
Carl Najafi, Apr 27 2014
STATUS
approved