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A275950
Square array A(1,k) = A265905(k), A(n>1,k) = A(n-1, k+1) - A(n-1, k); successive differences of A265905 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, 3, 2, 11, 8, 6, 49, 38, 30, 24, 291, 242, 204, 174, 150, 1979, 1688, 1446, 1242, 1068, 918, 15217, 13238, 11550, 10104, 8862, 7794, 6876, 136659, 121442, 108204, 96654, 86550, 77688, 69894, 63018, 1349627, 1212968, 1091526, 983322, 886668, 800118, 722430, 652536, 589518, 14561425, 13211798, 11998830, 10907304, 9923982, 9037314, 8237196, 7514766, 6862230, 6272712
OFFSET
1,2
FORMULA
A(1,k) = A265905(k); and for n > 1, A(n,k) = A(n-1, k+1) - A(n-1, k).
EXAMPLE
The top left 7 x 8 corner of the array:
1, 3, 11, 49, 291, 1979, 15217
2, 8, 38, 242, 1688, 13238, 121442
6, 30, 204, 1446, 11550, 108204, 1091526
24, 174, 1242, 10104, 96654, 983322, 10907304
150, 1068, 8862, 86550, 886668, 9923982, 123958350
918, 7794, 77688, 800118, 9037314, 114034368, 1514355678
6876, 69894, 722430, 8237196, 104997054, 1400321310, 20026187676
63018, 652536, 7514766, 96759858, 1295324256, 18625866366, 291196957578
PROG
(Scheme)
(define (A275950 n) (A275950bi (A002260 n) (A004736 n)))
(define (A275950bi row col) (if (= 1 row) (A265905 col) (- (A275950bi (- row 1) (+ 1 col)) (A275950bi (- row 1) col))))
CROSSREFS
Transpose: A275951.
Row 1: A265905, row 2: A265906, row 3: A275953.
Column 1: A275955.
Cf. A153880.
Variant: A275960.
Sequence in context: A344891 A163841 A276589 * A276587 A180185 A072634
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Aug 13 2016
STATUS
approved