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A161380
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Triangle read by rows: T(n,k) = 2*k*T(n-1,n-1) + 1 (n >= 0, 0 <= k <= n), with T(0,0) = 1.
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2
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1, 1, 3, 1, 7, 13, 1, 27, 53, 79, 1, 159, 317, 475, 633, 1, 1267, 2533, 3799, 5065, 6331, 1, 12663, 25325, 37987, 50649, 63311, 75973, 1, 151947, 303893, 455839, 607785, 759731, 911677, 1063623, 1, 2127247, 4254493, 6381739, 8508985, 10636231
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table;
graph;
refs;
listen;
history;
text;
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OFFSET
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0,3
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LINKS
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Nathaniel Johnston, Table of n, a(n) for n = 0..2500
Mathieu Guay-Paquet and _Jeffrey Shallit_, Avoiding Squares and Overlaps Over the Natural Numbers. Discrete Math., 309 (2009), 6245-6254.
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EXAMPLE
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Triangle begins:
1
1 3
1 7 13
1 27 53 79
1 159 317 475 633
1 1267 2533 3799 5065 6331
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MAPLE
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T := proc(n, k) option remember: if(n=0 and k=0)then return 1: else return 2*k*T(n-1, n-1)+1: fi: end:
for n from 0 to 8 do for k from 0 to n do printf("%d, ", T(n, k)): od: od: # Nathaniel Johnston, Apr 26 2011
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CROSSREFS
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Diagonal gives A010844. Column 2 is A161370.
Sequence in context: A196845 A218592 A113647 * A051927 A194595 A219063
Adjacent sequences: A161377 A161378 A161379 * A161381 A161382 A161383
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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N. J. A. Sloane, Nov 28 2009
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STATUS
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approved
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