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A059328
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Table T(n,k) = T(n - 1,k) + T(n,k - 1) + T(n - 1,k)*T(n,k - 1) starting with T(0,0)=1, read by antidiagonals.
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1, 1, 1, 1, 3, 1, 1, 7, 7, 1, 1, 15, 63, 15, 1, 1, 31, 1023, 1023, 31, 1, 1, 63, 32767, 1048575, 32767, 63, 1, 1, 127, 2097151, 34359738367, 34359738367, 2097151, 127, 1, 1, 255, 268435455, 72057594037927935, 1180591620717411303423
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| In binary representation T(n,k) is the concatenation of T(n-1,k-1) and T(n-1,k), 0<k<n. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 23 2003
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FORMULA
| T(n, k)=2^C(n+k, n)-1; a(n)=2^A007318(n)-1.
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CROSSREFS
| Sequence in context: A141689 A058669 A057004 * A174387 A176791 A075440
Adjacent sequences: A059325 A059326 A059327 * A059329 A059330 A059331
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KEYWORD
| nonn,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jan 26 2001
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