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A286625 Square array A(n,k) = A276945(n,k)/A002110(k-1), read by descending antidiagonals A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. 9

%I #15 Oct 27 2019 22:00:30

%S 1,1,3,1,4,4,1,6,6,5,1,8,10,7,7,1,12,14,11,16,9,1,14,22,15,36,19,10,1,

%T 18,26,23,78,41,21,11,1,20,34,27,144,85,45,22,13,1,24,38,35,222,155,

%U 91,46,31,15,1,30,46,39,324,235,165,92,71,34,16,1,32,58,47,438,341,247,166,155,76,36,17,1,38,62,59,668,457,357,248,287,162,80,37,18

%N Square array A(n,k) = A276945(n,k)/A002110(k-1), read by descending antidiagonals A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.

%H Antti Karttunen, <a href="/A286625/b286625.txt">Table of n, a(n) for n = 1..1275; the first 50 antidiagonals of array</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%F A(n,k) = A276945(n, k) / A002110(k-1).

%e The top left 12 X 12 corner of the array:

%e 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

%e 3, 4, 6, 8, 12, 14, 18, 20, 24, 30, 32, 38

%e 4, 6, 10, 14, 22, 26, 34, 38, 46, 58, 62, 74

%e 5, 7, 11, 15, 23, 27, 35, 39, 47, 59, 63, 75

%e 7, 16, 36, 78, 144, 222, 324, 438, 668, 900, 1148, 1518

%e 9, 19, 41, 85, 155, 235, 341, 457, 691, 929, 1179, 1555

%e 10, 21, 45, 91, 165, 247, 357, 475, 713, 957, 1209, 1591

%e 11, 22, 46, 92, 166, 248, 358, 476, 714, 958, 1210, 1592

%e 13, 31, 71, 155, 287, 443, 647, 875, 1335, 1799, 2295, 3035

%e 15, 34, 76, 162, 298, 456, 664, 894, 1358, 1828, 2326, 3072

%e 16, 36, 80, 168, 308, 468, 680, 912, 1380, 1856, 2356, 3108

%e 17, 37, 81, 169, 309, 469, 681, 913, 1381, 1857, 2357, 3109

%o (Scheme)

%o (define (A286625 n) (A286625bi (A002260 n) (A004736 n)))

%o (define (A286625bi row col) (/ (A276945bi row col) (A002110 (- col 1))))

%Y Transpose: A286623.

%Y Cf. A002110, A276945.

%Y Column 1: A276155.

%Y Row 1: A000012, Row 2: A008864, Row 3: A100484, Row 4: A072055, Row 5: A023523 (from its second term onward), Row 6: A286624.

%Y Cf. A276617 (analogous array).

%K nonn,tabl

%O 1,3

%A _Antti Karttunen_, Jun 28 2017

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)