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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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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| T(n,n) = A036563(n+1) = 2^(n+1) - 3.
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FORMULA
| T(n, k) = 2^(n+1) - 2^(n-k+1) - 1, 1<=k<=n.
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EXAMPLE
| 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
| Cf. A000079, A018900, A014311, A014312, A014313, A023688, A023689, A023690, A023691, A038461, A038462, A038463.
Sequence in context: A091892 A153183 A117203 * A003255 A171014 A118749
Adjacent sequences: A081115 A081116 A081117 * A081119 A081120 A081121
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KEYWORD
| nonn,tabl
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 06 2003
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