A105158 Table T(n,k), read by downward antidiagonals, defined by : T(0,0) = 0, T(n,n) = 2^n for n>0, T(n,k) - T(n,n) = A102371(n - k) if 0<= k < n, T(n,k) - T(n,n) = A102370(k - n) if k >= n.

0, 3, 3, 6, 2, 6, 5, 5, 5, 15, 4, 8, 4, 28, 15, 7, 7, 9, 23, 61, 10, 6, 10, 8, 18, 44, 126, 9, 17, 9, 11, 17, 39, 93, 251, 8, 12, 8, 14, 16, 34, 76, 190, 504, 11, 11, 19, 13, 19, 33, 71, 157, 379, 1017, 14, 10, 14, 12, 22, 32, 66, 140, 318, 760, 2042, 13, 13, 13, 23, 21, 35, 65

Offset

0,2

Comments

Consider T(0,0) and the 2^n -1 first terms of the row n for n>0; this give A102370 : 0; 3; 6, 5, 4; 15, 10, 9, 8, 11, 14, 13; 28, 23, 18, 17, 16, 19, 22, 21, 20, 31, 26, 25, 24, 27, 30; ...

Links

Table of n, a(n) for n=0..71.

David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].

Formula

T(0, k) = A102370(k); T(n, 0) = A103529(n+1).

Example

Table T(n,k) begins:
0, 3, 6, 5, 4, 15, 10, 9, 8, 11, 14, 13, 28, ...
3, 2, 5, 8, 7, 6, 17, 12, 11, 10, 13, 16, 15, ...
6, 5, 4, 7, 10, 9, 8, 19, 14, 13, 12, 15, 18, ...
15, 10, 9, 8, 11, 14, 13, 12, 23, 18, 17, 16, 19, ...
28, 23, 18, 17, 16, 19, 22, 21, 20, 31, 26, 25, 24, ...

Crossrefs

Cf. A102370, A102371, A103529.

Sequence in context: A010609 A066519 A236258 * A020813 A034188 A184849

Adjacent sequences: A105155 A105156 A105157 * A105159 A105160 A105161

Keyword

nonn,tabl,base

Author

Philippe Deléham, May 01 2005

Status

approved