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

1, 1, 2, 2, 3, 3, 6, 6, 7, 9, 16, 26, 41, 85, 142, 254, 461, 825, 1454, 2506, 4535, 7987, 14352, 26178, 47861, 87945, 162486, 304864, 565217, 1064529, 1992628, 3742934, 7034489, 13214869, 24924676, 46926388, 88812537, 167903969, 318619708, 604909434, 1150800393

Offset

1,3

Links

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

Formula

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

Example

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}.

Crossrefs

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

Sequence in context: A101081 A147795 A258186 * A038716 A168659 A035642

Adjacent sequences: A357412 A357413 A357414 * A357416 A357417 A357418

Keyword

nonn

Author

Ilya Gutkovskiy, Sep 27 2022

Extensions

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

Status

approved