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Search: id:A164874
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| A164874 |
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Triangle read by rows: T(1,1)=2; T(n,k)=2*T(n-1,k)+1, 1<=k<n; T(n,n)=2*(T(n-1,n-1)+1). |
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7
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| 2, 5, 6, 11, 13, 14, 23, 27, 29, 30, 47, 55, 59, 61, 62, 95, 111, 119, 123, 125, 126, 191, 223, 239, 247, 251, 253, 254, 383, 447, 479, 495, 503, 507, 509, 510, 767, 895, 959, 991, 1007, 1015, 1019, 1021, 1022, 1535, 1791, 1919, 1983, 2015, 2031, 2039, 2043
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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T(n,k) = A030130(n*(n-1)/2 + k + 1);
A023416(T(n,k)) = 1, 1<=k<=n;
A059673(n) = sum of n-th row;
T(n,1) = A055010(n);
T(n,2) = A086224(n-2) for n > 1;
T(n,n-1) = A036563(n+1) for n > 1;
T(n,n) = A000918(n+1).
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FORMULA
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T(n,k) = 2^(n+1) - 2^(n-k) - 1, 1 <= k <= n.
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EXAMPLE
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Initial rows of the triangle in binary representation:
.......................... 10
..................... 101 ..... 110
............... 1011 .... 1101 .... 1110
.......... 10111 ... 11011 ... 11101 ... 11110
.... 101111 .. 110111 .. 111011 .. 111101 .. 111110
1011111 . 1101111 . 1110111 . 1111011 . 1111101 . 1111110.
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CROSSREFS
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Sequence in context: A057812 A140144 A030130 this_sequence A045845 A002133 A092306
Adjacent sequences: A164871 A164872 A164873 this_sequence A164875 A164876 A164877
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KEYWORD
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nonn,tabl
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 29 2009
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