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A061310 Numbers which cannot be reached in the Countdown Numbers Game starting from (1,2,3,4,5,6): the game allows brackets and the operations + - x and /, and not all numbers need be used, while the result of each partial calculation must be an integer. +0
1
284, 307, 309, 314, 317, 379, 394, 398, 403, 411, 417, 423, 429, 431, 433, 435, 436, 437, 439, 441, 442, 443, 445, 446, 447, 449, 451, 453, 454, 457, 458, 459, 461, 463, 464, 466, 467, 469, 471, 473, 474, 487, 489, 491, 493, 494, 496, 499, 502, 506, 509 (list; graph; listen)
OFFSET

1,1

COMMENT

Starting with (1,1,1,1,1,1) no number greater than 9 can be reached.

LINKS

Henry Bottomley, Countdown Numbers Game applet

Index entries for similar sequences

EXAMPLE

283 is not in the sequence since 283=((6+1)*5*4*2)+3; 285 is not in the sequence since 285=((6*5*2)-3)*(4+1). However there is no similar calculation for 284 so 284 is in the sequence.

CROSSREFS

Sequence in context: A059257 A064964 A108826 this_sequence A092681 A090789 A002046

Adjacent sequences: A061307 A061308 A061309 this_sequence A061311 A061312 A061313

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jun 05 2001

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.


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