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 A167810 Number of admissible basis in the postage stamp problem for n denominations and h = 3 stamps. 6
 1, 3, 13, 86, 760, 8518, 116278, 1911198, 37063964, 835779524, 21626042510, 635611172160, 21033034941826, 777710150809009 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS A basis 1 = b_1 < b_2 ... < b_n is admissible if all the values 1 <= x <= b_n is obtainable as a sum of at most h (not necessarily distinct) numbers in the basis. REFERENCES R. K. Guy, Unsolved Problems in Number Theory, C12. LINKS Table of n, a(n) for n=1..14. R. Alter and J. A. Barnett, A postage stamp problem, Amer. Math. Monthly, 87 (1980), 206-210. M. F. Challis, Two new techniques for computing extremal h-bases A_k, Comp J 36(2) (1993) 117-126 Erich Friedman, Postage stamp problem W. F. Lunnon, A postage stamp problem, Comput. J. 12 (1969) 377-380. S. Mossige, Algorithms for Computing the h-Range of the Postage Stamp Problem, Math. Comp. 36 (1981) 575-582 CROSSREFS Other enumerations with different parameters: A167809 (h = 2), A167810 (h = 3), A167811 (h = 4), A167812 (h = 5), A167813 (h = 6), A167814 (h = 7). For h = 2, cf. A008932. A152112 is essentially the same sequence by definition. [From Herbert Kociemba, Jul 14 2010] Sequence in context: A157451 A188204 A152112 * A331646 A054420 A363656 Adjacent sequences: A167807 A167808 A167809 * A167811 A167812 A167813 KEYWORD hard,more,nonn AUTHOR Yogy Namara (yogy.namara(AT)gmail.com), Nov 12 2009 EXTENSIONS Terms a(1) to a(12) verified and new terms a(13) and a(14) added by Herbert Kociemba, Jul 14 2010 STATUS approved

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