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A214206 a(n) = largest m such that m*(m+1)/2 <= 14*n. 5
0, 4, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 20, 21, 21, 22, 23, 23, 24, 24, 25, 25, 26, 27, 27, 28, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 32, 33, 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 37, 38, 38, 38, 39, 39, 39, 40, 40, 40, 41, 41, 41, 42, 42, 42, 43, 43, 43, 44, 44, 44, 45, 45, 45, 45, 46, 46, 46, 47, 47, 47, 48, 48, 48, 48, 49, 49, 49, 49, 50 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Created in an attempt to simplify the definition of certain sequences currently under review by the editors.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A003056(14*n). - R. J. Mathar, Jul 09 2012

EXAMPLE

4*5/2 <= 14 but 5*6/2 > 14, so a(1)=4.

MATHEMATICA

Array[Floor[(Sqrt[1+112#]-1)/2]&, 100, 0] (* Harvey P. Dale, Dec 22 2012 *)

CROSSREFS

Sequence in context: A076680 A235623 A001074 * A026316 A283767 A174142

Adjacent sequences:  A214203 A214204 A214205 * A214207 A214208 A214209

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 08 2012

STATUS

approved

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Last modified April 22 14:30 EDT 2021. Contains 343177 sequences. (Running on oeis4.)