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A190588 Losing positions in Nim (misere) with up to 9 stones on each heap. 0
1, 22, 33, 44, 55, 66, 77, 88, 99, 111, 123, 145, 167, 189, 246, 257, 347, 356, 1122, 1133, 1144, 1155, 1166, 1177, 1188, 1199, 1247, 1256, 1346, 1357, 2222, 2233, 2244, 2255, 2266, 2277, 2288, 2299, 2345, 2367, 2389, 3333, 3344, 3355, 3366, 3377, 3388, 3399, 4444, 4455, 4466, 4477, 4488, 4499, 4567, 4589, 5555, 5566, 5577, 5588, 5599, 6666, 6677, 6688, 6699, 6789, 7777, 7788, 7799, 8888, 8899, 9999, 11111 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

In the game of Nim (misere) the player who takes the last stone loses. This sequence is a subset of A009994 (numbers with digits in nondecreasing order).

LINKS

Table of n, a(n) for n=1..73.

Wikipedia, Nim

EXAMPLE

Example: a(2) is 22 because it represents a losing position with two heaps with two stones in each. In the game of Nim (misere) the player who takes the last stone loses. If Player A takes one stone from heap 1, then Player B takes two from heap 2, leaving Player A to pick the last stone and lose the game.

CROSSREFS

Cf. A009994, A119456, A119464, A119466.

Sequence in context: A096768 A157529 A165932 * A072041 A067035 A074054

Adjacent sequences:  A190585 A190586 A190587 * A190589 A190590 A190591

KEYWORD

nonn

AUTHOR

Sergio Pimentel, May 13 2011

STATUS

approved

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Last modified November 15 21:30 EST 2019. Contains 329151 sequences. (Running on oeis4.)