A268725 Square array A(i,j) = A003188(A006068(i) * A006068(j)), read by antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...

1, 2, 2, 3, 13, 3, 4, 5, 5, 4, 5, 31, 6, 31, 5, 6, 27, 9, 9, 27, 6, 7, 10, 10, 41, 10, 10, 7, 8, 8, 12, 63, 63, 12, 8, 8, 9, 59, 15, 18, 54, 18, 15, 59, 9, 10, 63, 17, 50, 20, 20, 50, 17, 63, 10, 11, 54, 18, 93, 17, 24, 17, 93, 18, 54, 11, 12, 52, 20, 83, 119, 30, 30, 119, 83, 20, 52, 12, 13, 20, 23, 126, 126, 34, 21, 34, 126, 126, 23, 20, 13

Offset: 1

Author

Antti Karttunen, Feb 13 2016

Keywords

• nonn
• tabl

Examples

			The top left [1 .. 15] x [1 .. 15] section of the array:
   1,  2,  3,   4,   5,  6,   7,   8,   9,  10,  11,  12,  13,  14,  15
   2, 13,  5,  31,  27, 10,   8,  59,  63,  54,  52,  20,  22,  49,  17
   3,  5,  6,   9,  10, 12,  15,  17,  18,  20,  23,  24,  27,  29,  30
   4, 31,  9,  41,  63, 18,  50,  93,  83, 126, 118,  36,  32, 107, 101
   5, 27, 10,  63,  54, 20,  17, 119, 126, 108, 105,  40,  45,  99,  34
   6, 10, 12,  18,  20, 24,  30,  34,  36,  40,  46,  48,  54,  58,  60
   7,  8, 15,  50,  17, 30,  21, 110, 101,  34,  97,  60,  59,  44,  43
   8, 59, 17,  93, 119, 34, 110, 145, 187, 238, 162,  68, 196, 247, 221
   9, 63, 18,  83, 126, 36, 101, 187, 166, 252, 237,  72,  65, 215, 202
  10, 54, 20, 126, 108, 40,  34, 238, 252, 216, 210,  80,  90, 198,  68
  11, 52, 23, 118, 105, 46,  97, 162, 237, 210, 253,  92,  79, 200, 195
  12, 20, 24,  36,  40, 48,  60,  68,  72,  80,  92,  96, 108, 116, 120
  13, 22, 27,  32,  45, 54,  59, 196,  65,  90,  79, 108, 121,  82, 119
  14, 49, 29, 107,  99, 58,  44, 247, 215, 198, 200, 116,  82,  69,  89
  15, 17, 30, 101,  34, 60,  43, 221, 202,  68, 195, 120, 119,  89,  86
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..15051; the first 173 antidiagonals of the array

Crossrefs

Cf. A003188, A006068, A268724.

Cf. A268723 (main diagonal).

Cf. A268722 (row 2 and column 2).

Cf. A001969 (row 3 and column 3).

Cf. also A268715.

Programs

Scheme

(define (A268725 n) (A268725bi (A002260 n) (A004736 n)))
(define (A268725bi row col) (A003188 (* (A006068 row) (A006068 col))))

Formula

A(i,j) = A003188(A006068(i) * A006068(j)).

A(i,j) = A003188(A268724(i,j)).