A078489 a(n)=j such that binomial(n,j)<binomial(n-1,j-2).

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

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(n-1, j-2), j++); print1(j", "))

Crossrefs

Sequence in context: A076370 A112318 A367069 * A194179 A101803 A367068

Adjacent sequences: A078486 A078487 A078488 * A078490 A078491 A078492

Keyword

nonn

Author

Jon Perry, Jan 04 2003

Status

approved