login
A276945
Square array A(row,col): A(row,1) = A276155(row), and for col > 1, A(row,col) = A276154(A(row,col-1)); Dispersion of primorial base left shift A276154.
12
1, 2, 3, 6, 8, 4, 30, 36, 12, 5, 210, 240, 60, 14, 7, 2310, 2520, 420, 66, 32, 9, 30030, 32340, 4620, 450, 216, 38, 10, 510510, 540540, 60060, 4830, 2340, 246, 42, 11, 9699690, 10210200, 1021020, 62370, 30240, 2550, 270, 44, 13, 223092870, 232792560, 19399380, 1051050, 512820, 32550, 2730, 276, 62, 15
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 in column k are all multiples of A002110(k-1). Dividing that factor out gives array A286625. - Antti Karttunen, Jun 30 2017
FORMULA
A(row,1) = A276155(row); for row > 1, A(row,col) = A276154(A(row,col-1)).
EXAMPLE
The top left corner of the array:
1, 2, 6, 30, 210, 2310, 30030, 510510
3, 8, 36, 240, 2520, 32340, 540540, 10210200
4, 12, 60, 420, 4620, 60060, 1021020, 19399380
5, 14, 66, 450, 4830, 62370, 1051050, 19909890
7, 32, 216, 2340, 30240, 512820, 9729720, 223603380
9, 38, 246, 2550, 32550, 542850, 10240230, 233303070
10, 42, 270, 2730, 34650, 570570, 10720710, 242492250
11, 44, 276, 2760, 34860, 572880, 10750740, 243002760
13, 62, 426, 4650, 60270, 1023330, 19429410, 446696250
15, 68, 456, 4860, 62580, 1053360, 19939920, 456395940
16, 72, 480, 5040, 64680, 1081080, 20420400, 465585120
17, 74, 486, 5070, 64890, 1083390, 20450430, 466095630
18, 90, 630, 6930, 90090, 1531530, 29099070, 669278610
PROG
(Scheme)
(define (A276945 n) (A276945bi (A002260 n) (A004736 n)))
(define (A276945bi row col) (if (= 1 col) (A276155 row) (A276154 (A276945bi row (- col 1)))))
CROSSREFS
Inverse permutation: A276946.
Transpose: A276943. One more than A286615.
Column 1: A276155.
Row 1: A002110.
Row 2: A276939.
Row 3: A088860 (2*A002110).
Row 11: 2*A276939 (row 2) from 16, 72, 480, 5040, 64680, ... onward.
Row 13: 3*A002110, from 18, 90, 630, 6930, 90090, ... onward.
Cf. A276154.
Cf. also arrays A286625, A276955.
Sequence in context: A191453 A191454 A276955 * A246266 A284385 A282940
KEYWORD
nonn,base,tabl
AUTHOR
Antti Karttunen, Sep 24 2016
STATUS
approved