A003258 -id:A003258 - cp's OEIS frontend

A003259 Complement of A003258.

1, 4, 6, 9, 11, 14, 17, 19, 22, 25, 27, 30, 32, 35, 38, 40, 43, 45, 48, 51, 53, 56, 59, 61, 64, 66, 69, 72, 74, 77, 79, 82, 85, 87, 90, 93, 95, 98, 100, 103, 106, 108, 111, 114, 116, 119, 121, 124, 127, 129, 132, 134, 137, 140, 142, 145, 148, 150, 153, 155

Offset: 1

N. J. A. Sloane

nonn

This is the function named phi' in [Carlitz]. - Eric M. Schmidt, Aug 14 2014

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

L. Carlitz, R. Scoville and T. Vaughan, Some arithmetic functions related to Fibonacci numbers, Fib. Quart., 11 (1973), 337-386.

More terms and a definition from Eric M. Schmidt, Aug 17 2014

A078489 a(n)=j such that binomial(n,j)

Original entry on oeis.org

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

Jon Perry, Jan 04 2003

nonn

Related to Ramanujan's tau function

			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

for (n=1,100,j=0; while (binomial(n,j)>binomial(n-1,j-2),j++); print1(j","))

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

cp's OEIS Frontend

A003259 Complement of A003258.

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A078489 a(n)=j such that binomial(n,j)

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