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Search: id:A089888
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A089888 Number of subsets of {1,.., n} containing at least one square. +0
3
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 (list; graph; listen)
OFFSET

1,2

COMMENT

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: A108720 A089822 A079352 this_sequence A133411 A004645 A045687

Adjacent sequences: A089885 A089886 A089887 this_sequence A089889 A089890 A089891

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Nov 13 2003

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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