A078489
a(n)=j such that binomial(n,j)
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
Keywords
Examples
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
Programs
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PARI
for (n=1,100,j=0; while (binomial(n,j)>binomial(n-1,j-2),j++); print1(j","))
Formula
Conjecture: a(n) = A003258(n) - n + 1. - Ralf Stephan, Feb 24 2004
Comments