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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
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).
Sequence in context: A217347 A249798 A037348 * A212640 A333694 A364064
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Nov 08 2016
STATUS
approved