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A276580
Square array A(n,k) = A276570(A255127(n,k)), numbers in Ludic array reduced by the first element of each row. Array is read by antidiagonals A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...
5
0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 4, 3, 0, 0, 0, 0, 0, 1, 4, 8, 0, 0, 0, 4, 1, 8, 3, 16, 0, 0, 0, 0, 4, 5, 2, 0, 7, 0, 0, 0, 4, 2, 9, 3, 9, 18, 17, 0, 0, 0, 0, 2, 2, 0, 10, 12, 11, 2, 0, 0, 0, 4, 0, 2, 8, 2, 17, 7, 23, 31, 0, 0, 0, 0, 3, 6, 7, 3, 11, 24, 0, 6, 6, 0, 0, 0, 4, 3, 3, 4, 0, 22, 20, 23, 10, 30, 16, 0
OFFSET
2,9
COMMENTS
The starting offset of the sequence giving the terms of square array is 2, to tally with the indexing used in A255127. The row and column indices both start from 1.
Row 4 seems to have a period of 8: [0, 3, 3, 1, 1, 4, 2, 2], while row 5 (A276577) seems to have a period of 48.
EXAMPLE
The top left 17 x 15 corner of the array:
n A003309(n+1) = A255127(n,1).
| |
| | | A255127(n,k) modulo A003309(n+1)
v v |
1 2 |0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
2 3 |0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
3 5 |0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0
4 7 |0, 3, 3, 1, 1, 4, 2, 2, 0, 3, 3, 1, 1, 4, 2, 2, 0
5 11 |0, 0, 4, 8, 5, 9, 2, 2, 6, 3, 7, 0, 4, 4, 1, 5, 9
6 13 |0, 8, 3, 2, 3, 0, 8, 7, 4, 12, 4, 12, 7, 4, 3, 11, 12
7 17 |0, 16, 0, 9, 10, 2, 3, 0, 7, 10, 0, 3, 8, 13, 12, 0, 5
8 23 |0, 7, 18, 12, 17, 11, 22, 14, 2, 7, 1, 14, 2, 17, 7, 18, 10
9 25 |0, 17, 11, 7, 24, 20, 8, 8, 6, 21, 19, 15, 3, 3, 16, 16, 14
10 29 |0, 2, 23, 0, 23, 25, 0, 25, 0, 25, 2, 2, 0, 2, 6, 8, 8
11 37 |0, 31, 6, 10, 30, 36, 3, 21, 17, 29, 16, 14, 22, 34, 1, 13, 27
12 41 |0, 6, 30, 38, 25, 37, 4, 16, 5, 21, 0, 12, 22, 40, 29, 6, 24
13 43 |0, 16, 42, 9, 35, 38, 7, 31, 8, 1, 25, 6, 24, 5, 35, 26, 1
14 47 |0, 26, 13, 45, 32, 23, 10, 40, 19, 14, 21, 8, 28, 15, 0, 40, 25
15 53 |0, 42, 31, 14, 11, 0, 1, 0, 50, 31, 20, 29, 12, 11, 20, 1, 51
PROG
(Scheme)
(define (A276580 n) (A276580bi (A002260 (- n 1)) (A004736 (- n 1))))
(define (A276580bi row col) (A276570 (A255127bi row col))) ;; Code for A255127bi given in A255127.
CROSSREFS
Column 1, Rows 1 & 2: A000004.
Column 2: A276576.
Row 5: A276577.
Sequence in context: A287287 A323519 A333979 * A331437 A351572 A108708
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Sep 13 2016
STATUS
approved