A257514 Transpose of square array A257513.

1, 2, 5, 2, 16, 9, 4, 24, 20, 13, 2, 72, 42, 34, 17, 4, 48, 66, 36, 38, 21, 2, 120, 78, 96, 54, 52, 25, 4, 72, 102, 60, 90, 48, 56, 29, 6, 168, 114, 144, 90, 120, 66, 70, 33, 2, 312, 230, 160, 194, 124, 158, 88, 74, 37, 6, 120, 232, 162, 96, 150, 84, 138, 92, 88, 41, 4, 408, 248, 360, 262, 176, 226, 140, 190, 114, 92, 45

Offset: 1

Author

Antti Karttunen, May 01 2015

Keywords

• nonn
• tabl

Comments

The array is read by downwards antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...

See A257513.

Examples

			The top left corner of the array:
   1,   2,   2,   4,   2,   4,   2,   4,   6,   2,   6,   4,   2,   4,   6
   5,  16,  24,  72,  48, 120,  72, 168, 312, 120, 408, 312, 168, 360, 600
   9,  20,  42,  66,  78, 102, 114, 230, 232, 248, 370, 246, 258, 470, 636
  13,  34,  36,  96,  60, 144, 160, 162, 360, 198, 320, 336, 352, 494, 460
  17,  38,  54,  90,  90, 194,  96, 262, 338, 144, 406, 434, 364, 330, 684
  21,  52,  48, 120, 124, 150, 176, 240, 304, 210, 504, 458, 204, 526, 614
  25,  56,  66, 158,  84, 226, 150, 210, 374, 280, 540, 318, 380, 456, 532
  29,  70,  88, 138, 140, 216, 120, 264, 456, 292, 428, 490, 306, 378, 756
  33,  74,  92, 190, 126, 198, 162, 326, 492, 180, 588, 432, 228, 574, 686
  37,  88, 114, 192, 108, 240, 208, 350, 412, 308, 550, 366, 404, 504, 816
  41,  92, 132, 186, 138, 290, 220, 282, 540, 258, 500, 538, 330, 614, 958
  45, 106, 126, 216, 172, 314, 156, 382, 518, 204, 660, 480, 424, 732, 794
  49, 110, 144, 254, 184, 270, 236, 360, 484, 332, 622, 578, 522, 576, 712
  53, 124, 138, 306, 144, 346, 210, 330, 612, 282, 720, 684, 366, 498, 830
  57, 128, 156, 300, 200, 336, 180, 430, 590, 352, 830, 552, 288, 600, 748
  ...
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..3321; the first 81 antidiagonals of the array
• Index entries for sequences generated by sieves

Crossrefs

Transpose of A257513.

Column 1: A016813.

Row 1: A001223, Row 2: A069482, Row 3: A109805, Row 4: A226502 (apart from the first term).

Cf. also A083140, A083221, A257252.

Programs

Scheme

(define (A257514 n) (A257513bi (A004736 n) (A002260 n))) ;; A257513bi given in A257513.