login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A277898 Square array A(r,c), where each row r lists all numbers k for which A277892(k) = r, read by downwards antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. 7
3, 4, 5, 6, 9, 7, 8, 12, 25, 11, 10, 14, 33, 49, 13, 18, 15, 35, 58, 93, 17, 22, 16, 44, 65, 119, 169, 19, 24, 20, 45, 77, 121, 185, 287, 23, 30, 21, 51, 91, 124, 209, 289, 361, 29, 32, 26, 55, 95, 143, 214, 299, 437, 529, 31, 40, 27, 57, 106, 161, 221, 323, 473, 589, 802, 37, 42, 28, 60, 111, 177, 247, 327, 493, 611, 841, 934, 41 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

3,1

COMMENTS

Permutation of natural numbers larger than 2.

LINKS

Antti Karttunen, Table of n, a(n) for n = 3..353; the first 26 antidiagonals of array (computed from the b-file provided by Hans Havermann for A277892)

FORMULA

A(r,1) = A065091(r); for c > 1, A(r,c) = A277893(A(r,c-1)).

EXAMPLE

The top left corner of the array:

   3,    4,    6,    8,   10,   18,   22,   24,   30,   32

   5,    9,   12,   14,   15,   16,   20,   21,   26,   27

   7,   25,   33,   35,   44,   45,   51,   55,   57,   60

  11,   49,   58,   65,   77,   91,   95,  106,  111,  115

  13,   93,  119,  121,  124,  143,  161,  177,  187,  203

  17,  169,  185,  209,  214,  221,  247,  254,  301,  305

  19,  287,  289,  299,  323,  327,  391,  393,  398,  403

  23,  361,  437,  473,  493,  551,  565,  629,  633,  685

  29,  529,  589,  611,  667,  713,  779,  817,  889,  893

  31,  802,  841,  842,  851,  899,  901,  989, 1073, 1081

  37,  934,  961, 1121, 1147, 1154, 1189, 1227, 1271, 1293

  41, 1333, 1369, 1403, 1437, 1517, 1538, 1591, 1643, 1761

  43, 1681, 1739, 1763, 1927, 1943, 2183, 2257, 2263, 2302

  47, 1754, 1849, 2021, 2173, 2201, 2279, 2501, 2623, 2747

  53, 2209, 2491, 2537, 2594, 2643, 2701, 2773, 2881, 3053

PROG

(Scheme)

;; The terms for array proper start with A277898(3):

(define (A277898 n) (if (< n 3) n (A277898bi (A002260 (- n 2)) (A004736 (- n 2)))))

(define (A277898bi row col) (if (= 1 col) (A000040 (+ 1 row)) (A277893 (A277898bi row (- col 1)))))

CROSSREFS

Transpose: A277897.

Row 1: A277319.

Column 1: A065091, column 2: A277900.

Cf. A277892 (index of the row where n is located), A277895 (of the column).

Cf. A001222, A048675, A277893.

Sequence in context: A217347 A249798 A037348 * A212640 A333694 A338321

Adjacent sequences:  A277895 A277896 A277897 * A277899 A277900 A277901

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Nov 08 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 12 08:13 EDT 2021. Contains 344943 sequences. (Running on oeis4.)