cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A256140 #21 Apr 10 2018 14:17:05
%S A256140 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,
%T A256140 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,
%U A256140 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
%N A256140 Square array read by antidiagonals upwards: T(n,k) = n^A000120(k), n>=0, k>=0.
%C A256140 The partial sums of row n give the n-th row of the square array A256141.
%C A256140 First differs from A244003 at a(25).
%H A256140 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%e A256140 The corner of the square array with the first 16 terms of the first 12 rows looks like this:
%e A256140 ---------------------------------------------------------------------------
%e A256140 A000007: 1, 0, 0,  0,  0,  0,  0,   0,  0,  0,  0,   0,  0,   0,   0,    0
%e A256140 A000012: 1, 1, 1,  1,  1,  1,  1,   1,  1,  1,  1,   1,  1,   1,   1,    1
%e A256140 A001316: 1, 2, 2,  4,  2,  4,  4,   8,  2,  4,  4,   8,  4,   8,   8,   16
%e A256140 A048883: 1, 3, 3,  9,  3,  9,  9,  27,  3,  9,  9,  27,  9,  27,  27,   81
%e A256140 A102376: 1, 4, 4, 16,  4, 16, 16,  64,  4, 16, 16,  64, 16,  64,  64,  256
%e A256140 A256135: 1, 5, 5, 25,  5, 25, 25, 125,  5, 25, 25, 125, 25, 125, 125,  625
%e A256140 A256136: 1, 6, 6, 36,  6, 36, 36, 216,  6, 36, 36, 216, 36, 216, 216, 1296
%e A256140 .......: 1, 7, 7, 49,  7, 49, 49, 343,  7, 49, 49, 343, 49, 343, 343, 2401
%e A256140 .......: 1, 8, 8, 64,  8, 64, 64, 512,  8, 64, 64, 512, 64, 512, 512, 4096
%e A256140 .......: 1, 9, 9, 81,  9, 81, 81, 729,  9, 81, 81, 729, 81, 729, 729, 6561
%e A256140 .......: 1,10,10,100, 10,100,100,1000, 10,100,100,1000,100,1000,1000,10000
%e A256140 .......: 1,11,11,121, 11,121,121,1331, 11,121,121,1331,121,1331,1331,14641
%Y A256140 Cf. A000120, A244003, A255740, A255741, A256141.
%Y A256140 First seven rows are A000007, A000012, A001316, A048883, A102376, A256135, A256136.
%Y A256140 First 16 columns are A000012, A001477, A001477, A000290, A001477, A000290, A000290, A000578, A001477, A000290, A000290, A000578, A000290, A000578, A000578, A000583.
%Y A256140 Main diagonal gives A302451.
%K A256140 nonn,tabl
%O A256140 0,8
%A A256140 _Omar E. Pol_, Mar 16 2015