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%I A014616
%S A014616 2,4,7,10,14,18,23,28,34,40,47,54,62,70,79,88,98,108,119,130,142,154,
%T A014616 167,180,194,208,223,238,254,270,287,304,322,340,359,378,398,418,439,
%U A014616 460,482,504,527,550,574,598,623,648,674,700,727,754,782,810,839,868
%N A014616 a(n) = solution to the postage stamp problem with 2 denominations and 
               n stamps.
%C A014616 Lunnon defines "solution" to be the smallest value not obtainable by 
               the best set of stamps. The solutions given are one lower than this, 
               that is, the sequence gives the largest number obtainable without 
               a break using the best set of stamps.
%C A014616 a(n) = A002620(n+2)-2.
%D A014616 R. K. Guy, Unsolved Problems in Number Theory, C12.
%D A014616 Amitabha Tripathi, A Note on the Postage Stamp Problem, Journal of Integer 
               Sequences, Vol. 9 (2006), Article 06.1.3.
%H A014616 Erich Friedman, <a href="http://www.stetson.edu/%7Eefriedma/mathmagic/
               0403.html">Postage stamp problem</a>
%H A014616 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PostageStampProblem.html">Postage stamp problem</a>
%H A014616 Hugh Thomas and Stephanie van Willigenburg, <a href="http://arXiv.org/
               abs/0706.3250">Compact symmetric solutions to the postage stamp problem</
               a> arXiv:0706.3250
%F A014616 a(n) = floor((n^2 + 6*n + 1)/4).
%Y A014616 Postage stamp sequences: A001208 A001209 A001210 A001211 A001212 A001213 
               A001214 A001215 A001216 A005342 A005343 A005344 A014616 A053346 A053348 
               A075060 A084192 A084193
%Y A014616 Sequence in context: A107427 A130251 A088236 this_sequence A144873 A120679 
               A145106
%Y A014616 Adjacent sequences: A014613 A014614 A014615 this_sequence A014617 A014618 
               A014619
%K A014616 nonn,nice,easy
%O A014616 1,1
%A A014616 Eric Weisstein (eric(AT)weisstein.com)
%E A014616 Entry improved by comments from John Seldon (johnseldon(AT)onetel.com), 
               Sep 15 2004
%E A014616 More terms from John W. Layman (layman(AT)math.vt.edu), Apr 13 1999
%E A014616 Replaced arXiv URL by non-cached version - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Oct 07 2009

    
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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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