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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 12x12 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

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Last modified March 25 03:50 EDT 2019. Contains 321450 sequences. (Running on oeis4.)