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A275960
Square array A(1,k) = A265907(k), A(n>1,k) = A(n-1, k+1) - A(n-1, k); successive differences of A265907 read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...
7
1, 5, 4, 27, 22, 18, 283, 256, 234, 216, 2783, 2500, 2244, 2010, 1794, 27381, 24598, 22098, 19854, 17844, 16050, 289573, 262192, 237594, 215496, 195642, 177798, 161748, 3294929, 3005356, 2743164, 2505570, 2290074, 2094432, 1916634, 1754886, 39857103, 36562174, 33556818, 30813654, 28308084, 26018010, 23923578, 22006944, 20252058
OFFSET
1,2
FORMULA
A(1,k) = A265907(k); and for n > 1, A(n,k) = A(n-1, k+1) - A(n-1, k).
EXAMPLE
The top left corner of the array:
1, 5, 27, 283, 2783, 27381, 289573
4, 22, 256, 2500, 24598, 262192, 3005356
18, 234, 2244, 22098, 237594, 2743164, 33556818
216, 2010, 19854, 215496, 2505570, 30813654, 408368976
1794, 17844, 195642, 2290074, 28308084, 377555322, 11598750594
16050, 177798, 2094432, 26018010, 349247238, 11221195272, 231648340170
161748, 1916634, 23923578, 323229228, 10871948034, 220427144898, ...
PROG
(Scheme)
(define (A275960 n) (A275960bi (A002260 n) (A004736 n)))
(define (A275960bi row col) (if (= 1 row) (A265907 col) (- (A275960bi (- row 1) (+ 1 col)) (A275960bi (- row 1) col))))
CROSSREFS
Transpose: A275961.
Row 1: A265907, row 2: A265908, row 3: A275963.
Column 1: A275965.
Cf. A255411.
Variant: A275950.
Sequence in context: A301824 A248255 A277058 * A024067 A361983 A192778
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Aug 13 2016
STATUS
approved