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

1,2

Comments

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

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

Formula

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

Example

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.

Prog

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

Crossrefs

Inverse: A254108.

Transpose: A254105.

Row 1: A005187. Column 1: A000325.

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

Cf. A002260, A004736, A005187, A055938.

Sequence in context: A080782 A116941 A166695 * A116942 A374610 A254108

Adjacent sequences: A254104 A254105 A254106 * A254108 A254109 A254110

Keyword

nonn,tabl

Author

Antti Karttunen, Jan 26 2015

Status

approved