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A086707 Smallest mode of the sequences n/(n-k)*binomial(n,n-k) (see link). 0
0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..81.

Moussa Benoumhani, A Sequence of Binomial Coefficients Related to Lucas and Fibonacci Numbers, J. Integer Seqs., Vol. 6, 2003, Article 03.2.1.

FORMULA

a(n) = ceiling(1/10*(5*n-4-sqrt(5*n^2-4))).

MATHEMATICA

Table[Ceiling[1/10 (5 n - 4 - Sqrt[5 n^2 - 4])], {n, 1, 100}] (* Vincenzo Librandi, May 21 2015 *)

PROG

(PARI) vector(80, n, ceil(1/10*(5*n-4-sqrt(5*n^2-4)))) \\ Michel Marcus, May 20 2015

(MAGMA) [Ceiling(1/10*(5*n-4-Sqrt(5*n^2-4))): n in [1..100]]; // Vincenzo Librandi, May 21 2015

CROSSREFS

Sequence in context: A274024 A285189 A051889 * A217538 A333348 A194920

Adjacent sequences:  A086704 A086705 A086706 * A086708 A086709 A086710

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Jul 28 2003

STATUS

approved

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Last modified May 15 01:50 EDT 2021. Contains 343909 sequences. (Running on oeis4.)