A276943 Square array A(row,col) read by antidiagonals: A(1,col) = A276155(col), and for row > 1, A(row,col) = A276154(A(row-1,col)); Dispersion of primorial base left shift A276154 (array transposed).

1, 3, 2, 4, 8, 6, 5, 12, 36, 30, 7, 14, 60, 240, 210, 9, 32, 66, 420, 2520, 2310, 10, 38, 216, 450, 4620, 32340, 30030, 11, 42, 246, 2340, 4830, 60060, 540540, 510510, 13, 44, 270, 2550, 30240, 62370, 1021020, 10210200, 9699690, 15, 62, 276, 2730, 32550, 512820, 1051050, 19399380, 232792560, 223092870

Offset

1,2

Comments

The array A(row,col) is read by descending antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.

Entries on row n are all multiples of A002110(n-1).

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(1,col) = A276155(col); for row > 1, A(row,col) = A276154(A(row-1,col)).

Example

The top left corner of the array:
    1,    3,    4,    5,     7,     9,    10,    11,    13,    15,    16
    2,    8,   12,   14,    32,    38,    42,    44,    62,    68,    72
    6,   36,   60,   66,   216,   246,   270,   276,   426,   456,   480
   30,  240,  420,  450,  2340,  2550,  2730,  2760,  4650,  4860,  5040
  210, 2520, 4620, 4830, 30240, 32550, 34650, 34860, 60270, 62580, 64680

Prog

(Scheme)
(define (A276943 n) (A276943bi (A002260 n) (A004736 n)))
(define (A276943bi row col) (if (= 1 row) (A276155 col) (A276154 (A276943bi (- row 1) col))))

Crossrefs

Inverse permutation: A276944.

Transpose: A276945.

Column 1: A002110, Row 1: A276155.

Cf. A276154.

Cf. also array A276953.

Sequence in context: A114650 A170949 A276953 * A303148 A228784 A082328

Adjacent sequences: A276940 A276941 A276942 * A276944 A276945 A276946

Keyword

nonn,base,tabl

Author

Antti Karttunen, Sep 24 2016

Status

approved