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A357415 Number of nonempty subsets of {1..n} whose elements have an odd root mean square. 3

%I #11 Sep 28 2022 11:23:14

%S 1,1,2,2,3,3,6,6,7,9,16,26,41,85,142,254,461,825,1454,2506,4535,7987,

%T 14352,26178,47861,87945,162486,304864,565217,1064529,1992628,3742934,

%U 7034489,13214869,24924676,46926388,88812537,167903969,318619708,604909434,1150800393

%N Number of nonempty subsets of {1..n} whose elements have an odd root mean square.

%F a(n) = A339454(n) - A357416(n).

%e a(10) = 9 subsets: {1}, {3}, {5}, {7}, {9}, {1, 7}, {1, 5, 7}, {2, 3, 6, 8, 9, 10} and {2, 3, 6, 7, 8, 9, 10}.

%Y Cf. A339454, A357355, A357411, A357413, A357416.

%K nonn

%O 1,3

%A _Ilya Gutkovskiy_, Sep 27 2022

%E a(24)-a(41) from _Alois P. Heinz_, Sep 27 2022

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