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Search: id:A048569
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| A048569 |
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Values of n for which the position of central and a maximal value of A000005[ C[ n,k ] ] agree. |
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+0
3
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| 1, 2, 3, 4, 5, 6, 10, 13, 14, 15, 16, 22, 26, 29, 30, 37, 38, 39, 40, 46, 47, 48, 57, 58, 85, 86, 87, 93, 94, 95, 97, 98, 106, 107, 122, 123, 124, 125, 147, 148, 149, 150, 157, 158, 159, 178, 194, 206, 214, 219, 220, 226, 230, 232, 247, 278, 283, 284, 285, 286, 316
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OFFSET
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1,2
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COMMENT
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x is in the sequence if Floor[ x/2 ] is not only central but also a place of maximum for the number of divisors of C[ n,k ] binomial coefficients.
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EXAMPLE
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If n=10 and k=0,...,10 then d[ C[ 10,k ] ]=1,4,6,16,16,18,16,16,6,4,1. The maximum of A000005[ C[ 10,k ] ] values, i.e. 80 is appears at k=5, the central coefficient. Thus 10 is in this sequence.
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CROSSREFS
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A000005, A001405, A048274, A034974, A048570.
Sequence in context: A018382 A018266 A128945 this_sequence A033085 A006543 A133745
Adjacent sequences: A048566 A048567 A048568 this_sequence A048570 A048571 A048572
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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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