The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A276941 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A276941

Square array A(row,col): A(1,col) = A276937(col), and for row > 1, A(row,col) = A003961(A(row-1,col)), read by descending antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
(history; published version)

#12 by N. J. A. Sloane at Mon Sep 26 20:41:07 EDT 2016

STATUS

proposed

approved

#11 by Antti Karttunen at Sun Sep 25 14:48:07 EDT 2016

STATUS

editing

proposed

#10 by Antti Karttunen at Sun Sep 25 14:47:18 EDT 2016

CROSSREFS

Cf. A276078 (1 and the terms of this array sorted into ascending order).

#9 by Antti Karttunen at Sun Sep 25 14:45:03 EDT 2016

COMMENTS

The starting offset is 2 because 1 is not included in the array proper. With it the terms are a permutation of A276078.

#8 by Antti Karttunen at Sun Sep 25 14:42:12 EDT 2016

LINKS

Antti Karttunen, <a href="/A276941/b276941.txt">Table of n, a(n) for n = 2..1276; the first 50 antidiagonals of array</a>

#7 by Antti Karttunen at Sun Sep 25 14:40:43 EDT 2016

LINKS

Antti Karttunen, <a href="/A276941/b276941.txt">Table of n, a(n) for n = 2..1276</a>

#6 by Antti Karttunen at Sun Sep 25 14:05:01 EDT 2016

CROSSREFS

Topmost row: A276937, second row: A276938. Leftmost column: A000040.

Discussion

Sun Sep 25

14:39

Antti Karttunen: (The not-so-interesting thing is that that permutation is the same for all rows, because of factorial base left shift in A276075-mapped space corresponds exactly to the prime-shift A003961 in this space).

#5 by Antti Karttunen at Sun Sep 25 12:57:53 EDT 2016

CROSSREFS

Cf. also A276075, A276953.

#4 by Antti Karttunen at Sun Sep 25 12:41:17 EDT 2016

CROSSREFS

Cf. also A276075.

Discussion

Sun Sep 25

12:44

Antti Karttunen: Idea is that applying A276075 to this array gives an array containing all N (1,2,3,4,...) where each row is a permutation of corresponding row in array A276953. But I won't do that now, as a I found more interesting mappings meanwhile.

#3 by Antti Karttunen at Sun Sep 25 12:14:55 EDT 2016

EXAMPLE

The top left corner of the array:

2, 6, 9, 10, 14, 18, 22, 26, 30, 34, 38, 42

3, 15, 25, 21, 33, 75, 39, 51, 105, 57, 69, 165

5, 35, 49, 55, 65, 245, 85, 95, 385, 115, 145, 455

7, 77, 121, 91, 119, 847, 133, 161, 1001, 203, 217, 1309

11, 143, 169, 187, 209, 1859, 253, 319, 2431, 341, 407, 2717

13, 221, 289, 247, 299, 3757, 377, 403, 4199, 481, 533, 5083

17, 323, 361, 391, 493, 6137, 527, 629, 7429, 697, 731, 9367

19, 437, 529, 551, 589, 10051, 703, 779, 12673, 817, 893, 13547

23, 667, 841, 713, 851, 19343, 943, 989, 20677, 1081, 1219, 24679

29, 899, 961, 1073, 1189, 27869, 1247, 1363, 33263, 1537, 1711, 36859

CROSSREFS

Topmost row: A276937. Leftmost column: A000040.