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A080383 Number of i (0 <= i <= n) such that the central binomial coefficient C(n,floor(n/2)) = A001405(n) is divisible by C(n,i). +0
8
1, 2, 3, 4, 3, 6, 3, 6, 3, 6, 3, 6, 7, 10, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 8, 3, 6, 3, 6, 7, 10, 3, 6, 3, 6, 3, 8, 3, 6, 5, 10, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 7, 10, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 7, 10, 3, 6, 3, 6, 7, 10, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 (list; graph; listen)
OFFSET

0,2

EXAMPLE

Below n<=500 only a few values of a(n) arise: {1,2,3,4,5,6,7,8,10,11,14}.

MATHEMATICA

Table[Count[Table[IntegerQ[Binomial[n, Floor[n/2]]/Binomial[n, j]], {j, 0, n}], True], {n, 1, 500}]

CROSSREFS

Cf. A001405, A000225, A080384-A080388, A022292, A020475, A067348, A042996.

Adjacent sequences: A080380 A080381 A080382 this_sequence A080384 A080385 A080386

Sequence in context: A054437 A141128 A078908 this_sequence A086369 A092089 A117659

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Mar 12 2003

EXTENSIONS

Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Mar 14 2003

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.


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