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

0,3

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).

Links

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

Example

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
...

Prog

(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

Crossrefs

Cf. A000079, A000244, A192111.

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

Sequence in context: A268489 A198422 A105459 * A139133 A183946 A293719

Adjacent sequences: A227045 A227046 A227047 * A227049 A227050 A227051

Keyword

nonn,tabf

Author

Reinhard Zumkeller, Jun 29 2013

Extensions

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

Status

approved