A280322 Sum of the squares of the larger parts of the partitions of 2n into two squarefree parts.

1, 13, 34, 110, 74, 306, 339, 811, 804, 1340, 1437, 2469, 1725, 2840, 2245, 4953, 4511, 8663, 5975, 11191, 8568, 15588, 9696, 18380, 11064, 20397, 17314, 23105, 22379, 31134, 25387, 35486, 27603, 48487, 36645, 65610, 44926, 66801, 45749, 77825, 49037, 93390, 59942

Offset

1,2

Links

Table of n, a(n) for n=1..43.

Index entries for sequences related to partitions

Formula

a(n) = Sum_{i=1..n} (2n-i)^2 * mu(i)^2 * mu(2n-i)^2, where mu is the Möbius function (A008683).

a(n) = A280316(n) - A280320(n).

Maple

with(numtheory): A280322:=n->add((2*n-i)^2*mobius(i)^2*mobius(2*n-i)^2, i=1..n): seq(A280322(n), n=1..100);

Crossrefs

Cf. A008683, A280226, A280316.

Sequence in context: A089113 A067430 A214729 * A262851 A271750 A082214

Adjacent sequences: A280319 A280320 A280321 * A280323 A280324 A280325

Keyword

nonn,easy

Author

Wesley Ivan Hurt, Dec 31 2016

Status

approved