A227048 Irregular triangle read by rows: row n, for n >= 0, lists the nonnegative differences 3^n - 2^m, m >= 0, in increasing order.

0, 1, 2, 1, 5, 7, 8, 11, 19, 23, 25, 26, 17, 49, 65, 73, 77, 79, 80, 115, 179, 211, 227, 235, 239, 241, 242, 217, 473, 601, 665, 697, 713, 721, 725, 727, 728, 139, 1163, 1675, 1931, 2059, 2123, 2155, 2171, 2179, 2183, 2185, 2186, 2465, 4513, 5537, 6049, 6305

Offset: 0

Author

Reinhard Zumkeller, Jun 29 2013

Keywords

• nonn
• tabf

Comments

A020914(n) = length of n-th row;

T(n,1) = A056577(n);

T(n,A098294(n)) = A001047(n);

T(n,A020914(n)) = A024023(n);

T(n,k) = A196486(n,A020914(n)-k) for n > 0, k = 1..A056576(n).

Examples

			Initial rows:
0:  0
1:  1,2
2:  1,5,7,8
3:  11,19,23,25,26 (= 27-16, 27-8, 27-4, 27-2, 27-1)
4:  17,49,65,73,77,79,80
5:  115,179,211,227,235,239,241,242
6:  217,473,601,665,697,713,721,725,727,728
7:  139,1163,1675,1931,2059,2123,2155,2171,2179,2183,2185,2186
8:  2465,4513,5537,6049,6305,6433,6497,6529,6545,6553,6557,6559,6560
...
		

Links

• Reinhard Zumkeller, Rows n = 0..100 of triangle, flattened

Crossrefs

Cf. A000079, A000244, A192111.

See also A001047, A020914, A024023, A056576, A056577, A098294, A196486.

Programs

Haskell

a227048 n k = a227048_tabf !! n !! (k-1)
a227048_row n = a227048_tabf !! n
a227048_tabf = map f a000244_list  where
   f x = reverse $ map (x -) $ takeWhile (<= x) a000079_list

Extensions

Definition revised by N. J. A. Sloane, Oct 11 2019