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A048196 Numbers n for which Binomial [ n, Floor [ n/2 ] ] has identical number of unitary and non-unitary divisors. +0
1
14, 22, 33, 42, 44, 56, 57, 59 (list; graph; listen)
OFFSET

1,1

COMMENT

A048109 is applied to central binomial coefficients. Both ud and not-ud divisor numbers are (equal) powers of 2: 2^*1+r[ n ], where r[ n ] the number of distinct prime factors of the coefficients: A034973

FORMULA

A034444[ A001405[ n ] ] = A048105[ A001405[ x ] ]

EXAMPLE

n=59 when the corresponding Binomial[ 59,29 ] has 8192 divisors, of which 4096 are unitary and 4096 are not.

CROSSREFS

A001405, A034444, A034973, A048105, A048109.

Sequence in context: A082802 A113190 A092112 this_sequence A045282 A039291 A043114

Adjacent sequences: A048193 A048194 A048195 this_sequence A048197 A048198 A048199

KEYWORD

nonn

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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