A244003 -id:A244003 - cp's OEIS frontend

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

Omar E. Pol, Mar 16 2015

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

First differs from A244003 at a(25).

			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

Index entries for sequences related to cellular automata

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.

A152915 Exponacci (or exponential Fibonacci) numbers.

Original entry on oeis.org

1, 1, 2, 9, 64, 3125, 1679616, 96889010407, 9223372036854775808, 278128389443693511257285776231761, 10000000000000000000000000000000000000000000000000000000

Offset: 0

ShaoJun Ying (dolphinysj(AT)gmail.com), Dec 15 2008

nonn

			a(9) = 9 ^ Fibonacci(9) = 9 ^ 34 = 278128389443693511257285776231761.

Alois P. Heinz, Table of n, a(n) for n = 0..15
Wikipedia, Fibonacci number

Cf. A000045, A100399.

Main diagonal of A244003.

[n^Fibonacci(n): n in [1..10]]; // Vincenzo Librandi, Apr 05 2017

a:= n-> n^(<<1|1>, <1|0>>^n)[1, 2]:
seq(a(n), n=0..12);  # Alois P. Heinz, Jun 17 2014

Array[ #^Fibonacci[ # ]&,12] (* Vladimir Joseph Stephan Orlovsky, Apr 03 2010 *)

unsigned long Exponacci(unsigned int n)
{
if (n == 0)
return 1;
return pow(n, Fibonacci(n));
}

a(0) = 1, a(n) = n ^ Fibonacci(n) for n > 0; Fibonacci = A000045.

More terms from Vladimir Joseph Stephan Orlovsky, Apr 03 2010

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

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A152915 Exponacci (or exponential Fibonacci) numbers.

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