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 A247486 Numbers not achievable by the rules of 'Countdown' and 1,2,3,4,5,50. 1
 766, 838, 842, 857, 858, 859, 861, 1073, 1087, 1091, 1093, 1094, 1106, 1107, 1108, 1109, 1112, 1114, 1117, 1118, 1123, 1132, 1138, 1142, 1154, 1157, 1163, 1174, 1178, 1223, 1226, 1258, 1262, 1268, 1273, 1276, 1277, 1278, 1281, 1282, 1283, 1286, 1289, 1291 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The rules allow one to use +, -, *, /, the given numbers and parentheses. Not all numbers need to be used. A number can be used only once. Fractions are not allowed as intermediate results. 9000 = (1 + 2)*3*4*5*50 is the largest term missing. - Charles R Greathouse IV, Sep 19 2014 LINKS Alois P. Heinz, Table of n, a(n) for n = 1..10000 Wikipedia, Countdown rules for numbers round Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA a(n) = n + 2359 for n >= 6642. - Alois P. Heinz, Sep 22 2014 EXAMPLE The examples show some achievable numbers. They are not listed by a: 5 * (3 + 1) - 4 = 5 * 3 + 1 = 16. (50 - (1 + 2) * 3) * (4 + 5) = 41 * 9 = 369. (2 * 4) * (50 - 3 - 1) + 5 = 373. ((50 - 2) * 4 + 1) * 3 - 5 = 574. (1 + 3 * 4) * (50 + 2) - 5 = 671. MAPLE with(combinat): l:= permute([1, 2, 3, 4, 5, 50]): b:= proc(i, j, p) option remember; global l; `if`(i=j, l[p][j], select(x->x<>0 and is(x, integer), {seq(seq(seq([f+g, f-g, f*g, f/g][], g=b(k+1, j, p)), f=b(i, k, p)), k=i..j-1)})) end: l:= sort([({\$1..9000} minus {seq({seq(select(x->x>0, b(1, t, p))[], t=2..6)}[], p=1..6!)})[]]): a:= n-> `if`(n<=6641, l[n], n+2359): seq(a(n), n=1..100); # Alois P. Heinz, Sep 22 2014 CROSSREFS Sequence in context: A127206 A343704 A343705 * A125109 A234163 A159209 Adjacent sequences: A247483 A247484 A247485 * A247487 A247488 A247489 KEYWORD nonn,easy AUTHOR Jon Perry, Sep 18 2014 EXTENSIONS More terms from Alois P. Heinz, Sep 22 2014 STATUS approved

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Last modified December 8 03:48 EST 2022. Contains 358672 sequences. (Running on oeis4.)