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A089888
Number of subsets of {1,.., n} containing at least one square.
2
1, 2, 4, 12, 24, 48, 96, 192, 448, 896, 1792, 3584, 7168, 14336, 28672, 61440, 122880, 245760, 491520, 983040, 1966080, 3932160, 7864320, 15728640, 32505856, 65011712, 130023424, 260046848, 520093696, 1040187392
OFFSET
1,2
COMMENTS
a(n) = Sum(A089886(n,k): 1<=k<=A000196(n)) = A000079(n)-A089887(n) = A089887(n)*A000225(A000196(n)).
FORMULA
a(n) = (2^(n^(1/2))-n^(1/2))*2^(n-1).
CROSSREFS
Cf. A089890.
Sequence in context: A330592 A089822 A079352 * A291779 A181809 A181806
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Nov 13 2003
STATUS
approved