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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).
9
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).
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
KEYWORD
nonn,base,tabl
AUTHOR
Antti Karttunen, Sep 24 2016
STATUS
approved