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Triangle read by rows of the numbers that are the sum of some consecutive Mersenne numbers A000225.
1

%I #15 Feb 12 2013 18:26:38

%S 1,3,4,7,10,11,15,22,25,26,31,46,53,56,57,63,94,109,116,119,120,127,

%T 190,221,236,243,246,247,255,382,445,476,491,498,501,502,511,766,893,

%U 956,987,1002,1009,1012,1013,1023,1534,1789,1916,1979,2010,2025,2032,2035,2036

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

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

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

%e Triangle begins:

%e 1;

%e 3, 4;

%e 7, 10, 11;

%e 15, 22, 25, 26;

%e 31, 46, 53, 56, 57;

%e 63, 94, 109, 116, 119, 120;

%e 127, 190, 221, 236, 243, 246, 247;

%e 255, 382, 445, 476, 491, 498, 501, 502;

%e ...

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

%Y Cf. A023758, A141419, A194939.

%K nonn,tabl

%O 1,2

%A _Omar E. Pol_, Feb 12 2013