OFFSET
1,2
COMMENTS
The array is read by antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
Provided that I understand Kimberling's terminology correctly, this array is the dispersion of sequence b(n) = A005187(n+1), for n>=1: A005187[2..] = [3, 4, 7, 8, 10, 11, ...]. The left column is the complement of that sequence, which is {1} followed by A055938. - Antti Karttunen, Apr 17 2015
LINKS
Clark Kimberling, Interspersions and Dispersions.
Clark Kimberling, Interspersions and Dispersions, Proceedings of the American Mathematical Society, 117 (1993) 313-321.
FORMULA
EXAMPLE
The top left corner of the array:
1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047, 4095
2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096
5, 10, 19, 38, 74, 146, 290, 578, 1154, 2306, 4610, 9218
6, 11, 22, 42, 82, 162, 322, 642, 1282, 2562, 5122, 10242
9, 18, 35, 70, 138, 274, 546, 1090, 2178, 4354, 8706, 17410
12, 23, 46, 89, 176, 350, 695, 1387, 2770, 5535, 11067, 22128
13, 25, 49, 97, 193, 385, 769, 1537, 3073, 6145, 12289, 24577
14, 26, 50, 98, 194, 386, 770, 1538, 3074, 6146, 12290, 24578
17, 34, 67, 134, 266, 530, 1058, 2114, 4226, 8450, 16898, 33794
20, 39, 78, 153, 304, 606, 1207, 2411, 4818, 9631, 19259, 38512
...
PROG
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Apr 13 2015
STATUS
approved