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), ...

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

Links

Antti Karttunen, Table of n, a(n) for n = 1..325; the first 25 antidiagonals of array

Index entries for sequences related to factorial base representation

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

Adjacent sequences: A275957 A275958 A275959 * A275961 A275962 A275963

Keyword

nonn,tabl

Author

Antti Karttunen, Aug 13 2016

Status

approved