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A092477
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Triangle read by rows: T(n,k) = (2^k - 1)^n, 1<=k<=n.
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4
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1, 1, 9, 1, 27, 343, 1, 81, 2401, 50625, 1, 243, 16807, 759375, 28629151, 1, 729, 117649, 11390625, 887503681, 62523502209, 1, 2187, 823543, 170859375, 27512614111, 3938980639167, 532875860165503, 1, 6561, 5764801, 2562890625
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OFFSET
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1,3
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COMMENTS
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T(n,1)=1; T(n,2)=A000244(n); T(n,n-1)=A086206(n); T(n,n)=A055601(n).
T(n,k) is the number of n X k binary matrices with no 0 rows. The triangular array becomes a rectangular array by lifting the restriction on k. [From Geoffrey Critzer, Dec 03 2009]
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LINKS
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Table of n, a(n) for n=1..32.
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EXAMPLE
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Triangle begins 1 1,9 1,27,343 1,81,2401,50625 1,243,16807,759375, 28629151 [From Geoffrey Critzer, Dec 03 2009]
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MATHEMATICA
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Table[Table[(2^k - 1)^n, {k, 1, n}], {n, 1, 6}] // Grid [From Geoffrey Critzer, Dec 03 2009]
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CROSSREFS
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Sequence in context: A181318 A202006 A195278 * A019433 A276634 A050312
Adjacent sequences: A092474 A092475 A092476 * A092478 A092479 A092480
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KEYWORD
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nonn,tabl
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AUTHOR
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Reinhard Zumkeller, Mar 26 2004
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STATUS
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approved
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