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Search: id:A048683
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| A048683 |
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Values of n for which the difference of maximal and central square-free kernel numbers dividing values of {C(n,k)} or A001405(n) is zero. |
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2
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| 1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 16, 17, 18, 19, 23, 24, 31, 32, 33, 35, 36, 40, 41, 42, 55, 56, 57, 59, 65, 71, 72, 73, 80, 84, 100, 108, 109, 112, 113, 114, 115
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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max{sqf kernel(C(n, k)} - sqf kernel(C(n, [ n/2 ])) = 0
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EXAMPLE
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For n=23 both the maximal and central largest-square-free number dividing the corresponding {C(23,k)} values is 1352078=2*7*13*17*19*23=C(23,12) accidentally. The same 1352078 is the maximal-largest square-free divisor for C(24,k) values but 1352078=C(24,12)/2. Thus both 23 and 24 are in this sequence.
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CROSSREFS
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Analogous cases for A001221, A001222 functions as applied to {C(n, k)} are given in A020731 and A048627.
Sequence in context: A107750 A130091 A119848 this_sequence A085233 A133813 A079734
Adjacent sequences: A048680 A048681 A048682 this_sequence A048684 A048685 A048686
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu)
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