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 A102701 Non-"Ding!Bong!" numbers: positive numbers which are not a positive linear combination of 5's and 7's. 2
 1, 2, 3, 4, 6, 8, 9, 11, 13, 16, 18, 23 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS From the "Ding!Bong!" game: list the natural numbers replacing 5 by Ding! and 7 by Bong! All numbers except those listed in the sequence are combinations of Dings or of Bongs (this includes all numbers >23). Positive numbers not of the form 5x + 7y with nonnegative x and y. LINKS Gianni A. Sarcone and Marie-Jo Waeber, Can you count in 'ding-bong'?. EXAMPLE 1 2 3 4 Ding! 6 Bong! 8 9 Ding-Ding! 11 Ding-Bong! 13 Bong-Bong! Ding-Ding-Ding! 16 Ding-Ding-Bong! 18 Ding-Bong-Bong! Ding-Ding-Ding-Ding! Bong-Bong-Bong! Ding-Ding-Ding-Bong! 23 Ding-Ding-Bong-Bong! Ding-Ding-Ding-Ding-Ding! Ding-Bong-Bong-Bong! Ding-Ding-Ding-Ding-Bong! Bong-Bong-Bong-Bong! Ding-Ding-Ding-Bong-Bong! Ding-Ding-Ding-Ding-Ding-Ding! MATHEMATICA Position[Table[FrobeniusSolve[{5, 7}, n], {n, 23}]/.{}->r, r]//Flatten (* Harvey P. Dale, Mar 06 2019 *) CROSSREFS Cf. A000027, A102705. Sequence in context: A341159 A214977 A135676 * A255770 A111208 A085500 Adjacent sequences:  A102698 A102699 A102700 * A102702 A102703 A102704 KEYWORD easy,fini,full,nonn AUTHOR Alexandre Wajnberg, Feb 04 2005 EXTENSIONS Corrected by Zak Seidov, Oct 22 2011 Entry revised by N. J. A. Sloane, Mar 06 2019 STATUS approved

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Last modified April 11 08:10 EDT 2021. Contains 342886 sequences. (Running on oeis4.)