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A133906 Least number m such that binomial(n+m,m) mod m = 1. +0
1
2, 3, 5, 2, 2, 7, 9, 2, 2, 3, 3, 2, 2, 17, 17, 2, 2, 3, 3, 2, 2, 23, 25, 2, 2, 4, 3, 2, 2, 31, 37, 2, 2, 8, 8, 2, 2, 3, 41, 2, 2, 4, 4, 2, 2, 3, 3, 2, 2, 5, 5, 2, 2, 3, 3, 2, 2, 4, 4, 2, 2, 67, 3, 2, 2, 44, 44, 2, 2, 16, 16, 2, 2, 3, 4, 2, 2, 5, 5, 2, 2, 3, 3, 2, 2, 89, 9, 2, 2, 3, 3, 2, 2, 97, 97, 2, 2, 7 (list; graph; listen)
OFFSET

1,1

EXAMPLE

a(1)=2, since binomial(1+2,2) mod 2 = 3 mod 2 = 1 and 2 is the minimal number with this property.

a(7)=9 because of binomial(7+9,9)=11440=1271*9+1, but binomial(7+k,k) mod k<>1 for all numbers <9.

CROSSREFS

Cf. A000040, A133620, A133621, A133623, A133630, A133635.

Cf. A133872, A133880, A133890, A133900, A133910.

Sequence in context: A011157 A060441 A065996 this_sequence A133907 A060084 A138182

Adjacent sequences: A133903 A133904 A133905 this_sequence A133907 A133908 A133909

KEYWORD

nonn

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Oct 20 2007

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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