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.

2, 6, 3, 9, 15, 5, 10, 25, 35, 7, 14, 21, 49, 77, 11, 18, 33, 55, 121, 143, 13, 22, 75, 65, 91, 169, 221, 17, 26, 39, 245, 119, 187, 289, 323, 19, 30, 51, 85, 847, 209, 247, 361, 437, 23, 34, 105, 95, 133, 1859, 299, 391, 529, 667, 29, 38, 57, 385, 161, 253, 3757, 493, 551, 841, 899, 31, 42, 69, 115, 1001, 319, 377, 6137, 589, 713, 961, 1147, 37

Offset: 2

Author

Antti Karttunen, Sep 25 2016

Keywords

• nonn
• tabl

Comments

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

Examples

			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
		

Links

• Antti Karttunen, Table of n, a(n) for n = 2..1276; the first 50 antidiagonals of array

Crossrefs

Transpose: A276942.

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

Cf. A003961.

Cf. A276078 (sorted into ascending order).

Cf. also A276075, A276953.

Programs

Scheme

(define (A276941 n) (A276941bi (A002260 (- n 1)) (A004736 (- n 1))))
(define (A276941bi row col) (if (= 1 row) (A276937 col) (A003961 (A276941bi (- row 1) col))))

Formula

A(1,col) = A276937(col), and for row > 1, A(row,col) = A003961(A(row-1,col)).