OFFSET
1,2
COMMENTS
A McNugget number has the form 6x + 9y + 20z for nonnegative integers x, y, z.
A214772(a(n)) = 0. - Reinhard Zumkeller, Jul 28 2012
REFERENCES
Eric Weisstein, Concise Encyclopedia of Mathematics, p. 1151.
LINKS
Agustín Moreno Cañadas, Juan David Camacho, and Isaías David Marín Gaviria, Relationships Between Mutations of Brauer Configuration Algebras and Some Diophantine Equations, arXiv:2105.11529 [math.RT], 2021, see p. 2.
Scott Chapman, Christopher O'Neill, Factoring in the Chicken McNugget monoid, arXiv:1709.01606 [math.AC], 2017.
James Grime and Brady Haran, How to order 43 Chicken McNuggets, Numberphile video (2012)
C. U. Jensen and A. Thorup, Gorenstein orders, Journal of Pure and Applied Algebra, Volume 219, Issue 3, March 2015, Pages 551-562. See Example 7.1. - N. J. A. Sloane, Jul 22 2014
Eric Weisstein's World of Mathematics, McNugget Numbers.
Wikipedia, Coin problem
MATHEMATICA
Select[Range[43], Length@FrobeniusSolve[{6, 9, 20}, #] == 0 &] (* Arkadiusz Wesolowski, Feb 20 2013 *)
PROG
(Haskell)
import Data.List (elemIndices)
a065003 n = a065003_list !! n
a065003_list = elemIndices 0 $ map a214772 [0..43]
-- Reinhard Zumkeller, Jul 28 2012
(PARI) is(n)=forstep(k=n, 6, -20, if(k%3==0, return(0))); n%20>0 \\ Charles R Greathouse IV, May 05 2013
CROSSREFS
KEYWORD
easy,fini,full,nonn,changed
AUTHOR
Karl Sabbagh (karl.sabbagh(AT)btinternet.com), Nov 01 2001
STATUS
approved