A254107 Transposed dispersion of A055938.

1, 3, 2, 4, 6, 5, 7, 9, 13, 12, 8, 14, 20, 28, 27, 10, 17, 29, 43, 59, 58, 11, 21, 36, 60, 90, 122, 121, 15, 24, 44, 75, 123, 185, 249, 248, 16, 30, 51, 91, 154, 250, 376, 504, 503, 18, 33, 61, 106, 186, 313, 505, 759, 1015, 1014, 19, 37, 68, 124, 217, 377, 632, 1016, 1526, 2038, 2037, 22, 40, 76, 139, 251, 440, 760, 1271, 2039, 3061, 4085, 4084

Offset: 1

Author

Antti Karttunen, Jan 26 2015

Keywords

• nonn
• tabl

Comments

This is dispersion array A254105 transposed. Please see there for a description.

Examples

			The top left corner of the array:
     1,    3,    4,    7,    8,   10,   11,   15,   16,    18,    19,    22
     2,    6,    9,   14,   17,   21,   24,   30,   33,    37,    40,    45
     5,   13,   20,   29,   36,   44,   51,   61,   68,    76,    83,    92
    12,   28,   43,   60,   75,   91,  106,  124,  139,   155,   170,   187
    27,   59,   90,  123,  154,  186,  217,  251,  282,   314,   345,   378
    58,  122,  185,  250,  313,  377,  440,  506,  569,   633,   696,   761
   121,  249,  376,  505,  632,  760,  887, 1017, 1144,  1272,  1399,  1528
   248,  504,  759, 1016, 1271, 1527, 1782, 2040, 2295,  2551,  2806,  3063
   503, 1015, 1526, 2039, 2550, 3062, 3573, 4087, 4598,  5110,  5621,  6134
  1014, 2038, 3061, 4086, 5109, 6133, 7156, 8182, 9205, 10229, 11252, 12277
etc.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..120; the first 15 antidiagonals of array
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A254108.

Transpose: A254105.

Row 1: A005187. Column 1: A000325.

Row index: A254111, Column index of n: A254112.

Cf. A002260, A004736, A005187, A055938.

Programs

Scheme

(define (A254107 n) (A254105bi (A004736 n) (A002260 n)))
(define (A254105bi row col) (if (= 1 col) (A005187 row) (A055938 (A254105bi row (- col 1)))))

Formula

If row = 1, then A(row,col) = A005187(col), otherwise A(row,col) = A055938(A(row-1,col)).