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A254107 Transposed dispersion of A055938. 9
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 (list; table; graph; refs; listen; history; text; internal format)
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 A254108 A093573

Adjacent sequences:  A254104 A254105 A254106 * A254108 A254109 A254110

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Jan 26 2015

STATUS

approved

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Last modified November 25 14:21 EST 2020. Contains 338624 sequences. (Running on oeis4.)