A221975 Triangle read by rows of the numbers that are the sum of some consecutive Mersenne numbers A000225.

1, 3, 4, 7, 10, 11, 15, 22, 25, 26, 31, 46, 53, 56, 57, 63, 94, 109, 116, 119, 120, 127, 190, 221, 236, 243, 246, 247, 255, 382, 445, 476, 491, 498, 501, 502, 511, 766, 893, 956, 987, 1002, 1009, 1012, 1013, 1023, 1534, 1789, 1916, 1979, 2010, 2025, 2032, 2035, 2036

Offset: 1

Author

Omar E. Pol, Feb 12 2013

Keywords

• nonn
• tabl

Examples

			Triangle begins:
1;
3,     4;
7,    10,  11;
15,   22,  25,  26;
31,   46,  53,  56,  57;
63,   94, 109, 116, 119, 120;
127, 190, 221, 236, 243, 246, 247;
255, 382, 445, 476, 491, 498, 501, 502;
...
		

Crossrefs

Column 1 is A000225. Right border gives the positive terms of A000295.

Cf. A023758, A141419, A194939.

Formula

T(n,k) = sum_{j = n-k+1..n} 2^j - 1, n>=1, k>=1.

T(n,n) = A000295(n+1).