

A078489


a(n)=j such that binomial(n,j)<binomial(n1,j2).


1



2, 2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 15, 16, 17, 17, 18, 19, 19, 20, 20, 21, 22, 22, 23, 23, 24, 25, 25, 26, 27, 27, 28, 28, 29, 30, 30, 31, 32, 32, 33, 33, 34, 35, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 41, 42, 43, 43, 44, 44, 45, 46, 46, 47
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OFFSET

1,1


COMMENTS

Related to Ramanujan's tau function


LINKS

Table of n, a(n) for n=1..74.


FORMULA

Conjecture: a(n) = A003258(n)  n + 1.  Ralf Stephan, Feb 24 2004


EXAMPLE

a(3)=3, as: binomial(3,0)=1 and binomial(2,2)=0 binomial(3,1)=3 and binomial(2,1)=0 binomial(3,2)=3 and binomial(2,0)=1 binomial(3,3)=1 and binomial(2,1)=2


PROG

(PARI) for (n=1, 100, j=0; while (binomial(n, j)>binomial(n1, j2), j++); print1(j", "))


CROSSREFS

Sequence in context: A309430 A076370 A112318 * A194179 A101803 A005379
Adjacent sequences: A078486 A078487 A078488 * A078490 A078491 A078492


KEYWORD

nonn


AUTHOR

Jon Perry, Jan 04 2003


STATUS

approved



