A256140 Square array read by antidiagonals upwards: T(n,k) = n^A000120(k), n>=0, k>=0.

1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 2, 1, 0, 1, 4, 3, 4, 1, 0, 1, 5, 4, 9, 2, 1, 0, 1, 6, 5, 16, 3, 4, 1, 0, 1, 7, 6, 25, 4, 9, 4, 1, 0, 1, 8, 7, 36, 5, 16, 9, 8, 1, 0, 1, 9, 8, 49, 6, 25, 16, 27, 2, 1, 0, 1, 10, 9, 64, 7, 36, 25, 64, 3, 4, 1, 0, 1, 11, 10, 81, 8, 49, 36, 125, 4, 9, 4, 1, 0, 1, 12, 11, 100, 9, 64, 49, 216, 5, 16, 9, 8, 1, 0

Offset: 0

Author

Omar E. Pol, Mar 16 2015

Keywords

• nonn
• tabl

Comments

The partial sums of row n give the n-th row of the square array A256141.

First differs from A244003 at a(25).

Examples

			The corner of the square array with the first 16 terms of the first 12 rows looks like this:
---------------------------------------------------------------------------
A000007: 1, 0, 0,  0,  0,  0,  0,   0,  0,  0,  0,   0,  0,   0,   0,    0
A000012: 1, 1, 1,  1,  1,  1,  1,   1,  1,  1,  1,   1,  1,   1,   1,    1
A001316: 1, 2, 2,  4,  2,  4,  4,   8,  2,  4,  4,   8,  4,   8,   8,   16
A048883: 1, 3, 3,  9,  3,  9,  9,  27,  3,  9,  9,  27,  9,  27,  27,   81
A102376: 1, 4, 4, 16,  4, 16, 16,  64,  4, 16, 16,  64, 16,  64,  64,  256
A256135: 1, 5, 5, 25,  5, 25, 25, 125,  5, 25, 25, 125, 25, 125, 125,  625
A256136: 1, 6, 6, 36,  6, 36, 36, 216,  6, 36, 36, 216, 36, 216, 216, 1296
.......: 1, 7, 7, 49,  7, 49, 49, 343,  7, 49, 49, 343, 49, 343, 343, 2401
.......: 1, 8, 8, 64,  8, 64, 64, 512,  8, 64, 64, 512, 64, 512, 512, 4096
.......: 1, 9, 9, 81,  9, 81, 81, 729,  9, 81, 81, 729, 81, 729, 729, 6561
.......: 1,10,10,100, 10,100,100,1000, 10,100,100,1000,100,1000,1000,10000
.......: 1,11,11,121, 11,121,121,1331, 11,121,121,1331,121,1331,1331,14641
		

Links

• Index entries for sequences related to cellular automata

Crossrefs

Cf. A000120, A244003, A255740, A255741, A256141.

First seven rows are A000007, A000012, A001316, A048883, A102376, A256135, A256136.

First 16 columns are A000012, A001477, A001477, A000290, A001477, A000290, A000290, A000578, A001477, A000290, A000290, A000578, A000290, A000578, A000578, A000583.

Main diagonal gives A302451.