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.

A264731 Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = prime(2^(n-1)*(2*k-1)), n,k >= 1.

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%I A264731 #12 Dec 03 2015 04:22:49
%S A264731 2,3,5,7,13,11,19,37,29,17,53,89,71,43,23,131,223,173,107,61,31,311,
%T A264731 503,409,263,151,79,41,719,1163,941,613,359,193,101,47,1619,2657,2129,
%U A264731 1423,827,457,239,113,59,3671,5849,4751,3167,1877,1049,569,281,139,67
%N A264731 Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = prime(2^(n-1)*(2*k-1)), n,k >= 1.
%C A264731 Every primes appears exactly once in the array.
%F A264731 A(n,k) = A000040(A054582(n-1,k-1)).
%F A264731 A(A001511(m),A003602(m)) = A000040(m), m >= 1.
%e A264731 The array begins:
%e A264731 .     2      5     11     17     23     31     41     47     59      67
%e A264731 .     3     13     29     43     61     79    101    113    139     163
%e A264731 .     7     37     71    107    151    193    239    281    337     383
%e A264731 .    19     89    173    263    359    457    569    659    769     881
%e A264731 .    53    223    409    613    827   1049   1283   1511   1747    2003
%e A264731 .   131    503    941   1423   1877   2377   2861   3413   3923    4481
%e A264731 .   311   1163   2129   3167   4211   5309   6379   7561   8731    9857
%e A264731 .   719   2657   4751   6971   9311  11731  14143  16603  19183   21661
%e A264731 .  1619   5849  10459  15331  20393  25579  30859  36161  41611   47143
%e A264731 .  3671  12907  22943  33479  44269  55487  66791  78193  89899  101573
%e A264731 As a triangle:
%e A264731 .    2
%e A264731 .    3    5
%e A264731 .    7   13   11
%e A264731 .   19   37   29   17
%e A264731 .   53   89   71   43   23
%e A264731 .  131  223  173  107   61  31
%e A264731 .  311  503  409  263  151  79  41
%e A264731 ...
%t A264731 (* Array: *)
%t A264731 Grid[Table[Prime[2^(n - 1)*(2*k - 1)], {n, 10}, {k, 10}]]
%t A264731 (* Array antidiagonals flattened: *)
%t A264731 Flatten[Table[Prime[2^(n - k)*(2*k - 1)], {n, 10}, {k, n}]]
%Y A264731 Cf. A031368, A031378, A031395 (rows 1--3).
%Y A264731 Cf. A033844 (column 1).
%Y A264731 Cf. A264735 (main diagonal).
%Y A264731 Cf. A000040, A001511, A003602, A054582.
%K A264731 nonn,tabl
%O A264731 1,1
%A A264731 _L. Edson Jeffery_, Nov 22 2015