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A286623 Square array A(n,k) = A276943(n,k)/A002110(n-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
1, 3, 1, 4, 4, 1, 5, 6, 6, 1, 7, 7, 10, 8, 1, 9, 16, 11, 14, 12, 1, 10, 19, 36, 15, 22, 14, 1, 11, 21, 41, 78, 23, 26, 18, 1, 13, 22, 45, 85, 144, 27, 34, 20, 1, 15, 31, 46, 91, 155, 222, 35, 38, 24, 1, 16, 34, 71, 92, 165, 235, 324, 39, 46, 30, 1, 17, 36, 76, 155, 166, 247, 341, 438, 47, 58, 32, 1, 18, 37, 80, 162, 287, 248, 357, 457, 668, 59, 62, 38, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
A(n,k) = A276943(n, k) / A002110(n-1).
EXAMPLE
The top left 12 X 12 corner of the array:
1, 3, 4, 5, 7, 9, 10, 11, 13, 15, 16, 17
1, 4, 6, 7, 16, 19, 21, 22, 31, 34, 36, 37
1, 6, 10, 11, 36, 41, 45, 46, 71, 76, 80, 81
1, 8, 14, 15, 78, 85, 91, 92, 155, 162, 168, 169
1, 12, 22, 23, 144, 155, 165, 166, 287, 298, 308, 309
1, 14, 26, 27, 222, 235, 247, 248, 443, 456, 468, 469
1, 18, 34, 35, 324, 341, 357, 358, 647, 664, 680, 681
1, 20, 38, 39, 438, 457, 475, 476, 875, 894, 912, 913
1, 24, 46, 47, 668, 691, 713, 714, 1335, 1358, 1380, 1381
1, 30, 58, 59, 900, 929, 957, 958, 1799, 1828, 1856, 1857
1, 32, 62, 63, 1148, 1179, 1209, 1210, 2295, 2326, 2356, 2357
1, 38, 74, 75, 1518, 1555, 1591, 1592, 3035, 3072, 3108, 3109
PROG
(Scheme)
(define (A286623 n) (A286623bi (A002260 n) (A004736 n)))
(define (A286623bi row col) (/ (A276943bi row col) (A002110 (- row 1))))
CROSSREFS
Transpose: A286625.
Row 1: A276155.
Column 1: A000012, Column 2: A008864, Column 3: A100484, Column 4: A072055, Column 5: A023523 (from its second term onward), Column 6: A286624 (= 1 + A123134), Column 11: 2*A123134, Column 13: 3*A006094.
Cf. A276616 (analogous array).
Sequence in context: A089554 A276617 A276616 * A246340 A246354 A286625
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Jun 28 2017
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)