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A153125 Triangle read by rows: T(n,k) = maximal number of squares that can be covered by a queen on an n X k chessboard, 1<=k<=n. +0
4
1, 2, 4, 3, 6, 9, 4, 7, 10, 12, 5, 8, 11, 14, 17, 6, 9, 12, 15, 18, 20, 7, 10, 13, 16, 19, 22, 25, 8, 11, 14, 17, 20, 23, 26, 28, 9, 12, 15, 18, 21, 24, 27, 30, 33, 10, 13, 16, 19, 22, 25, 28, 31, 34, 36, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 12, 15, 18, 21, 24, 27, 30, 33, 36 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Sums of rows give A153126; central terms give A016861;

A047461(n) = T(n,n);

T(n,2*k-1) = T(n-1,2*k-1) + 1 for 2*k-1<n.

FORMULA

T(n,k) = n + 3*(k-1) - (1 - n Mod 2)*0^(n-k), 1<=k<=n.

CROSSREFS

Sequence in context: A077661 A139413 A077583 this_sequence A075362 A110749 A077529

Adjacent sequences: A153122 A153123 A153124 this_sequence A153126 A153127 A153128

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 20 2008

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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