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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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3
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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| 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 (critzer.geoffrey(AT)usd443.org), Dec 03 2009]
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EXAMPLE
| Triangle begins 1 1,9 1,27,343 1,81,2401,50625 1,243,16807,759375, 28629151 [From Geoffrey Critzer (critzer.geoffrey(AT)usd443.org), Dec 03 2009]
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MATHEMATICA
| Table[Table[(2^k - 1)^n, {k, 1, n}], {n, 1, 6}] // Grid [From Geoffrey Critzer (critzer.geoffrey(AT)usd443.org), Dec 03 2009]
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CROSSREFS
| Sequence in context: A181318 A202006 A195278 * A019433 A050312 A107892
Adjacent sequences: A092474 A092475 A092476 * A092478 A092479 A092480
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KEYWORD
| nonn,tabl
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 26 2004
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