A286625 - OEIS

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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

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

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

OFFSET

1,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..1275; the first 50 antidiagonals of array

Index entries for sequences related to primorial base

FORMULA

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

EXAMPLE

The top left 12 X 12 corner of the array:

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

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

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

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

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

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

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

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

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

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

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

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

PROG

(Scheme)

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

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

CROSSREFS

Transpose: A286623.

Cf. A002110, A276945.

Column 1: A276155.

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

Cf. A276617 (analogous array).

Sequence in context: A286623 A246340 A246354 * A129246 A125608 A182001

Adjacent sequences: A286622 A286623 A286624 * A286626 A286627 A286628

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Jun 28 2017

STATUS

approved