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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 (list; table; graph; refs; listen; history; text; internal format)
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 A192778 A051138

Adjacent sequences:  A275957 A275958 A275959 * A275961 A275962 A275963

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Aug 13 2016

STATUS

approved

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Last modified September 23 12:43 EDT 2021. Contains 347617 sequences. (Running on oeis4.)