cp's OEIS Frontend

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), ...

%I A275960 #9 Aug 16 2016 09:46:57
%S A275960 1,5,4,27,22,18,283,256,234,216,2783,2500,2244,2010,1794,27381,24598,
%T A275960 22098,19854,17844,16050,289573,262192,237594,215496,195642,177798,
%U A275960 161748,3294929,3005356,2743164,2505570,2290074,2094432,1916634,1754886,39857103,36562174,33556818,30813654,28308084,26018010,23923578,22006944,20252058
%N 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), ...
%H A275960 Antti Karttunen, <a href="/A275960/b275960.txt">Table of n, a(n) for n = 1..325; the first 25 antidiagonals of array</a>
%H A275960 <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>
%F A275960 A(1,k) = A265907(k); and for n > 1, A(n,k) = A(n-1, k+1) - A(n-1, k).
%e A275960 The top left corner of the array:
%e A275960        1, 5, 27, 283, 2783, 27381, 289573
%e A275960        4, 22, 256, 2500, 24598, 262192, 3005356
%e A275960       18, 234, 2244, 22098, 237594, 2743164, 33556818
%e A275960      216, 2010, 19854, 215496, 2505570, 30813654, 408368976
%e A275960     1794, 17844, 195642, 2290074, 28308084, 377555322, 11598750594
%e A275960    16050, 177798, 2094432, 26018010, 349247238, 11221195272, 231648340170
%e A275960   161748, 1916634, 23923578, 323229228, 10871948034, 220427144898, ...
%o A275960 (Scheme)
%o A275960 (define (A275960 n) (A275960bi (A002260 n) (A004736 n)))
%o A275960 (define (A275960bi row col) (if (= 1 row) (A265907 col) (- (A275960bi (- row 1) (+ 1 col)) (A275960bi (- row 1) col))))
%Y A275960 Transpose: A275961.
%Y A275960 Row 1: A265907, row 2: A265908, row 3: A275963.
%Y A275960 Column 1: A275965.
%Y A275960 Cf. A255411.
%Y A275960 Variant: A275950.
%K A275960 nonn,tabl
%O A275960 1,2
%A A275960 _Antti Karttunen_, Aug 13 2016