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

0,8

Comments

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

First differs from A244003 at a(25).

Links

Table of n, a(n) for n=0..104.

Index entries for sequences related to cellular automata

Example

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

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.

Sequence in context: A301505 A301504 A307432 * A321391 A244003 A369738

Adjacent sequences: A256137 A256138 A256139 * A256141 A256142 A256143

Keyword

nonn,tabl

Author

Omar E. Pol, Mar 16 2015

Status

approved