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A326178 Number of subsets of {1..n} whose product is equal to their sum. 6

%I #5 Jun 14 2019 21:52:00

%S 0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,

%T 27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,

%U 50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67

%N Number of subsets of {1..n} whose product is equal to their sum.

%C Same as A001477 (the nonnegative integers) with 3 removed.

%e The a(1) = 1 through a(9) = 10 subsets:

%e {1} {1} {1} {1} {1} {1} {1} {1} {1}

%e {2} {2} {2} {2} {2} {2} {2} {2}

%e {3} {3} {3} {3} {3} {3} {3}

%e {1,2,3} {4} {4} {4} {4} {4} {4}

%e {1,2,3} {5} {5} {5} {5} {5}

%e {1,2,3} {6} {6} {6} {6}

%e {1,2,3} {7} {7} {7}

%e {1,2,3} {8} {8}

%e {1,2,3} {9}

%e {1,2,3}

%t Table[Length[Select[Subsets[Range[n]],Times@@#==Plus@@#&]],{n,0,10}]

%Y Cf. A053632, A057567, A057568, A063865, A301987, A326156, A326158, A326179, A326180.

%K nonn,dumb

%O 0,3

%A _Gus Wiseman_, Jun 13 2019

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)