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Search: id:A081118
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| A081118 |
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Triangle of first n numbers per row having exactly n 1's in binary representation. |
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+0
4
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| 1, 3, 5, 7, 11, 13, 15, 23, 27, 29, 31, 47, 55, 59, 61, 63, 95, 111, 119, 123, 125, 127, 191, 223, 239, 247, 251, 253, 255, 383, 447, 479, 495, 503, 507, 509, 511, 767, 895, 959, 991, 1007, 1015, 1019, 1021, 1023, 1535, 1791, 1919, 1983, 2015, 2031, 2039, 2043
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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T(n,n) = A036563(n+1) = 2^(n+1) - 3.
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FORMULA
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T(n, k) = 2^(n+1) - 2^(n-k+1) - 1, 1<=k<=n.
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EXAMPLE
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Triangle begins:
.......... 1 ......... ................ 1
........ 3...5 ....... .............. 11 101
...... 7..11..13 ..... .......... 111 1011 1101
... 15..23..27..29 ... ...... 1111 10111 11011 11101
. 31..47..55..59..61 . . 11111 101111 110111 111011 111101.
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CROSSREFS
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Cf. A000079, A018900, A014311, A014312, A014313, A023688, A023689, A023690, A023691, A038461, A038462, A038463.
Sequence in context: A100549 A091892 A117203 this_sequence A003255 A118749 A122089
Adjacent sequences: A081115 A081116 A081117 this_sequence A081119 A081120 A081121
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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)lhsystems.com), Mar 06 2003
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