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A259646 Values of r(k): the smallest r such that binomial(r, k) < 2^{r-k}. 1
3, 6, 10, 14, 19, 23, 27, 31, 36, 40, 44, 49, 53, 57, 62, 66, 70, 75, 79, 83, 88, 92, 96, 101, 105, 109, 114, 118, 122, 127, 131, 136, 140, 144, 149, 153, 157, 162, 166, 171, 175, 179, 184, 188, 192, 197, 201, 206, 210, 214, 219, 223, 227, 232, 236, 241, 245 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The values of a(1)-a(10) are given in the paper by Woodford.

LINKS

Felix Fröhlich, Table of n, a(n) for n = 1..2000

R. Woodford, A Variation on Perfect Numbers, Integers: Electronic Journal of Combinatorial Number Theory, Vol. 4, A11 (2004).

PROG

(PARI) a(n) = r=n; while(binomial(r, n) >= 2^(r-n), r++); r

CROSSREFS

Sequence in context: A310066 A310067 A310068 * A310069 A310070 A036572

Adjacent sequences:  A259643 A259644 A259645 * A259647 A259648 A259649

KEYWORD

nonn

AUTHOR

Felix Fröhlich, Jul 15 2015

STATUS

approved

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Last modified March 21 12:12 EDT 2019. Contains 321369 sequences. (Running on oeis4.)