login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001210 a(n) is the solution to the postage stamp problem with 5 denominations and n stamps.
(Formerly M3864 N1707)
20

%I M3864 N1707 #41 Feb 03 2022 02:28:11

%S 5,16,36,70,126,216,345,512,797,1055,1475,2047,2659,3403,4422,5629,

%T 6865,8669,10835,12903,15785,18801,22456,26469,31108,36949,42744,

%U 49436,57033,66771,75558,86303,96852,110253,123954,140688,158389,178811,197293,223580

%N a(n) is the solution to the postage stamp problem with 5 denominations and n stamps.

%C _Fred Lunnon_ [W. F. 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 Additional terms a(30) through a(67) are available on line at Challis and Robinson. - John P Robinson (john-robinson(AT)uiowa.edu), Feb 18 2010

%D R. K. Guy, Unsolved Problems in Number Theory, C12.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Robert Price, <a href="/A001210/b001210.txt">Table of n, a(n) for n = 1..67</a>

%H R. Alter and J. A. Barnett, <a href="http://www.jstor.org/stable/2321610">A postage stamp problem</a>, Amer. Math. Monthly, 87 (1980), 206-210.

%H M. F. Challis, <a href="http://dx.doi.org/10.1093/comjnl/36.2.117">Two new techniques for computing extremal h-bases A_k</a>, Comp. J. 36(2) (1993) 117-126.

%H M. F. Challis and J. P. Robinson, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL13/Challis/challis6.html">Some Extremal Postage Stamp Bases</a>, J. Integer Seq., 13 (2010), Article 10.2.3. [From John P Robinson (john-robinson(AT)uiowa.edu), Feb 18 2010]

%H Erich Friedman, <a href="https://erich-friedman.github.io/mathmagic/0403.html">Postage stamp problem</a>

%H W. F. Lunnon, <a href="https://doi.org/10.1093/comjnl/12.4.377">A postage stamp problem</a>, Comput. J. 12 (1969) 377-380.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PostageStampProblem.html">Postage stamp problem</a>

%Y Postage stamp sequences: A001208, A001209, A001210, A001211, A001212, A001213, A001214, A001215, A001216, A005342, A005343, A005344, A014616, A053346, A053348, A075060, A084192, A084193.

%Y A row or column of the array A196416 (possibly with 1 subtracted from it).

%K nonn

%O 1,1

%A _N. J. A. Sloane_

%E Terms up to a(29) from Challis added by _R. J. Mathar_, Apr 01 2006

%E Entry improved by comments from John Seldon (johnseldon(AT)onetel.com), Sep 15 2004

%E a(30)-a(67) from Challis and Robinson added by _Robert Price_, Jul 19 2013

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 09:28 EDT 2024. Contains 371967 sequences. (Running on oeis4.)