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%I #5 May 31 2012 12:21:26
%S 0,1,2,3,4,5,6,10,11,15,16,20,22,25,26,30,31,35,36,40,41,50,51,55,56,
%T 60,61,65,66,75,76,80,81,85,86,90,91,100,102,120,122,150,153,200,204,
%U 250,300,350,400,450,500,550,600,650,700,750,800,850,900,950
%N Amounts (in cents) of coins in denominations 1, 5, 10, 25, and 50 (cents) which, when using the minimal number of coins, have equal numbers of all denominations used.
%C Nonnegative integers representable as a linear combination of 1, 5, 10, 25, and 50 with nonnegative coefficients, minimal sum of coefficients, and all nonzero coefficients equal.
%C Includes all nonnegative multiples of 50 and every term > 204 is a multiple of 50.
%C Unlike A212773, here it is permitted--and necessary--to use a single denomination for some amounts; otherwise, this sequence would be finite.
%H <a href="/index/Mag#change">Index entries for sequences related to making change.</a>
%F a(n) = (n-41)*50 for n >= 46.
%e a(37) = 91 is a term because the minimal number of coins to equal the amount 91 is five, 91 = 1*1 + 1*5 + 1*10 + 1*25 + 1*50, and there is one of each of the five denominations used.
%e a(45) = 204 is a term because the minimal number of coins for 204 is eight, 204 = 4*1 + 4*50, and there are four of each of the two denominations used.
%e Although 12 can be represented as 12*1 or 2*1 + 2*5, requiring 12 or 4 coins and each otherwise meeting the criteria, three (2*1 + 1*10) is the minimal number of coins required and 2 does not equal 1, so 12 is not a term.
%Y Cf. A212773, A011542, A001300.
%K nonn
%O 1,3
%A _Rick L. Shepherd_, May 29 2012
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