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Number of subsets of {1,...,n} containing n and having at least one set partition into 4 blocks with equal element sum.
1

%I #11 Mar 16 2026 14:11:28

%S 1,2,6,14,37,88,218,515,1226,2848,6566,14997,33483,74406,162422,

%T 351621,751171,1594028,3345216,6979670,14449856,29761605,60960032,

%U 124383222,252769726,512188227,1035145462,2087540588,4202777517,8448693592,16965990536,34036224936

%N Number of subsets of {1,...,n} containing n and having at least one set partition into 4 blocks with equal element sum.

%e a(7) = 1: {1,2,3,4,5,6,7}-> 16/25/34/7.

%e a(8) = 2: {1,2,3,5,6,7,8}-> 17/26/35/8, {1,2,3,4,5,6,7,8}-> 18/27/36/45.

%Y Column k=4 of A248112.

%K nonn

%O 7,2

%A _Alois P. Heinz_, Oct 01 2014

%E a(25)-a(38) from _Bert Dobbelaere_, Mar 16 2026