A286615 Square array A(n,k) = A276945(n,k)-1, read by descending antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.

0, 1, 2, 5, 7, 3, 29, 35, 11, 4, 209, 239, 59, 13, 6, 2309, 2519, 419, 65, 31, 8, 30029, 32339, 4619, 449, 215, 37, 9, 510509, 540539, 60059, 4829, 2339, 245, 41, 10, 9699689, 10210199, 1021019, 62369, 30239, 2549, 269, 43, 12, 223092869, 232792559, 19399379, 1051049, 512819, 32549, 2729, 275, 61, 14

Offset

1,3

Comments

A permutation of nonnegative integers.

Links

Antti Karttunen, Table of n, a(n) for n = 1..630; the first 35 antidiagonals of array

Index entries for sequences that are permutations of the natural numbers

Index entries for sequences related to primorial base

Formula

A(n,k) = A276945(n,k)-1.

Example

The top left 8 X 15 corner of the array:
   0,  1,   5,   29,   209,    2309,    30029,    510509
   2,  7,  35,  239,  2519,   32339,   540539,  10210199
   3, 11,  59,  419,  4619,   60059,  1021019,  19399379
   4, 13,  65,  449,  4829,   62369,  1051049,  19909889
   6, 31, 215, 2339, 30239,  512819,  9729719, 223603379
   8, 37, 245, 2549, 32549,  542849, 10240229, 233303069
   9, 41, 269, 2729, 34649,  570569, 10720709, 242492249
  10, 43, 275, 2759, 34859,  572879, 10750739, 243002759
  12, 61, 425, 4649, 60269, 1023329, 19429409, 446696249
  14, 67, 455, 4859, 62579, 1053359, 19939919, 456395939
  15, 71, 479, 5039, 64679, 1081079, 20420399, 465585119
  16, 73, 485, 5069, 64889, 1083389, 20450429, 466095629
  17, 89, 629, 6929, 90089, 1531529, 29099069, 669278609
  18, 91, 635, 6959, 90299, 1533839, 29129099, 669789119
  19, 95, 659, 7139, 92399, 1561559, 29609579, 678978299

Prog

(Scheme)
(define (A286615 n) (A286615bi (A002260 n) (A004736 n)))
(define (A286615bi row col) (+ -1 (A276945bi row col))) ;; For A276945bi see under A276945.

Crossrefs

Transpose: A286616.

One less than A276945.

Row 1: A057588.

Sequence in context: A100114 A078319 A246207 * A200112 A146098 A296567

Adjacent sequences: A286612 A286613 A286614 * A286616 A286617 A286618

Keyword

nonn,tabl

Author

Antti Karttunen, Jun 30 2017

Status

approved