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

1,4

Links

Table of n, a(n) for n=1..41.

Formula

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

Example

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}.

Crossrefs

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

Sequence in context: A146922 A283363 A236210 * A362251 A165120 A165129

Adjacent sequences: A357413 A357414 A357415 * A357417 A357418 A357419

Keyword

nonn

Author

Ilya Gutkovskiy, Sep 27 2022

Extensions

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

Status

approved