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 A280316 Sum of squares of parts of the partitions of 2n into two squarefree parts. 3
 2, 18, 44, 124, 108, 372, 398, 886, 888, 1560, 1642, 2778, 2098, 3440, 2810, 5618, 5350, 9766, 6934, 12382, 9744, 17448, 11112, 20440, 12728, 24050, 19508, 26610, 25270, 36108, 28950, 41020, 31974, 56038, 42490, 74484, 51668, 77210, 52810, 87970, 57074, 105804, 68972 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..43. Index entries for sequences related to partitions FORMULA a(n) = Sum_{i=1..n} (i^2 + (2*n-i)^2) * mu(i)^2 * mu(2*n-i)^2, where mu is the Möbius function (A008683). a(n) = A280320(n) + A280322(n). MAPLE with(numtheory): A280316:=n->add((i^2+(2*n-i)^2) * mobius(i)^2 * mobius(2*n-i)^2, i=1..n): seq(A280316(n), n=1..100); CROSSREFS Cf. A008683, A280226, A280320, A280322. Sequence in context: A072278 A296266 A365493 * A131538 A009820 A304933 Adjacent sequences: A280313 A280314 A280315 * A280317 A280318 A280319 KEYWORD nonn,easy AUTHOR Wesley Ivan Hurt, Dec 31 2016 STATUS approved

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Last modified July 17 14:36 EDT 2024. Contains 374377 sequences. (Running on oeis4.)