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A048688 Number of classes generated by function A000005 when applied to binomial coefficients. +0
1
1, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 5, 8, 6, 6, 8, 9, 6, 11, 7, 11, 10, 10, 9, 11, 11, 11, 10, 15, 13, 15, 11, 15, 16, 14, 14, 16, 15, 15, 12, 18, 17, 18, 12, 22, 18, 20, 19, 21, 17, 20, 19, 24, 21, 21, 15, 25, 19, 18, 19, 24, 21, 28, 25, 26, 24, 29, 19, 29, 25, 24, 26, 29, 19 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = Length[ Union[ Table[ A000005[ binomial[ n, k ] ], {k, 0, n} ] ] ]

EXAMPLE

For n=9 A000005({C(9,k)})={1,3,9,12,12,12,12,9,3,1} includes 4 distinct values so generating 4 classes of k values: {0,9},{1,8},{2,7} and {3,4,5,6}. So a(9)=4

CROSSREFS

A000005, A001221, A007947.

Sequence in context: A093875 A114214 A074198 this_sequence A092695 A033270 A103264

Adjacent sequences: A048685 A048686 A048687 this_sequence A048689 A048690 A048691

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu)

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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