Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A276616
Square array A(n,k) = A276953(n,k)/n!, read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
6
1, 3, 1, 4, 4, 1, 5, 6, 5, 1, 7, 7, 8, 6, 1, 9, 13, 9, 10, 7, 1, 10, 16, 21, 11, 12, 8, 1, 11, 18, 25, 31, 13, 14, 9, 1, 13, 19, 28, 36, 43, 15, 16, 10, 1, 15, 25, 29, 40, 49, 57, 17, 18, 11, 1, 16, 28, 41, 41, 54, 64, 73, 19, 20, 12, 1, 17, 30, 45, 61, 55, 70, 81, 91, 21, 22, 13, 1, 18, 31, 48, 66, 85, 71, 88, 100, 111, 23, 24, 14, 1
OFFSET
1,2
FORMULA
A(n,k) = A276953(n,k)/n!
EXAMPLE
The top left corner of the array:
1, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 17, 18, 19, 20, 21, 22
1, 4, 6, 7, 13, 16, 18, 19, 25, 28, 30, 31, 36, 37, 39, 40, 42
1, 5, 8, 9, 21, 25, 28, 29, 41, 45, 48, 49, 60, 61, 64, 65, 68
1, 6, 10, 11, 31, 36, 40, 41, 61, 66, 70, 71, 90, 91, 95, 96, 100
1, 7, 12, 13, 43, 49, 54, 55, 85, 91, 96, 97, 126, 127, 132, 133, 138
1, 8, 14, 15, 57, 64, 70, 71, 113, 120, 126, 127, 168, 169, 175, 176, 182
PROG
(Scheme)
(define (A276616 n) (A276616bi (A002260 n) (A004736 n)))
(define (A276616bi row col) (/ (A276953bi row col) (A000142 row)))
CROSSREFS
Transpose: A276617.
Row 1: A273670, row 2: A276931, row 3: A276934.
For columns, see the rows of transpose A276617.
Sequence in context: A373987 A089554 A276617 * A286623 A246340 A246354
KEYWORD
nonn,base,tabl
AUTHOR
Antti Karttunen, Sep 22 2016
STATUS
approved