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Search: id:A115229
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| A115229 |
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Number of ways in chess to force mate in n moves for a single knight against a single pawn, without duals, without short mates and excluding rotations, mirroring and color reversing. |
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+0
1
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OFFSET
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0,1
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COMMENT
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The mate is only possible against a pawn on a border line (a-line or h-line).
No non-dual (single solution) mates are possible beyond n = 7 (cf. Springerzauber, page 178).
Obviously the positions with the higher number of moves lead via a unique chain of positions with the lower numbers.
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REFERENCES
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John Selman and Harrie Grondijs, Springerzauber, 1998, chapter 16.
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EXAMPLE
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Example: The three positions with 0 moves (checkmate) are:
a) White: Kc2, Nb3, Black: Ka1, Pawn a2
b) White: Kc1, Nb3, Black: Ka1, Pawn a2
c) White: Kc1, Nc2, Black: Ka1, pawn a2
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CROSSREFS
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Sequence in context: A009783 A064106 A022411 this_sequence A136047 A082965 A045549
Adjacent sequences: A115226 A115227 A115228 this_sequence A115230 A115231 A115232
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KEYWORD
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nonn
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AUTHOR
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njas, based on email from Harrie Grondijs (hgrondijs(AT)epo.org), Mar 06 2006
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