A357416 Number of nonempty subsets of {1..n} whose elements have an even root mean square.

0, 1, 1, 2, 2, 3, 3, 4, 8, 11, 13, 26, 46, 81, 169, 284, 482, 857, 1461, 2548, 4370, 7917, 14181, 25648, 47330, 87457, 163291, 302678, 568974, 1064393, 1993805, 3742588, 7030646, 13231519, 24871349, 46994382, 88657700, 167876827, 318263561, 604694212, 1150634498

Offset: 1

Author

Ilya Gutkovskiy, Sep 27 2022

Keywords

• nonn

Examples

			a(9) = 8 subsets: {2}, {4}, {6}, {8}, {1, 3, 5, 8, 9}, {3, 4, 5, 7, 9}, {1, 3, 5, 6, 8, 9} and {3, 4, 5, 6, 7, 9}.
		

Links

• Max Alekseyev, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A339454, A357356, A357412, A357414, A357415.

Formula

a(n) = A339454(n) - A357415(n).

Extensions

a(24)-a(41) from Alois P. Heinz, Sep 27 2022