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A276616 Square array A(n,k) = A276953(n,k)/n!, read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. 6
1, 3, 1, 4, 4, 1, 5, 6, 5, 1, 7, 7, 8, 6, 1, 9, 13, 9, 10, 7, 1, 10, 16, 21, 11, 12, 8, 1, 11, 18, 25, 31, 13, 14, 9, 1, 13, 19, 28, 36, 43, 15, 16, 10, 1, 15, 25, 29, 40, 49, 57, 17, 18, 11, 1, 16, 28, 41, 41, 54, 64, 73, 19, 20, 12, 1, 17, 30, 45, 61, 55, 70, 81, 91, 21, 22, 13, 1, 18, 31, 48, 66, 85, 71, 88, 100, 111, 23, 24, 14, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10440; the first 144 antidiagonals of array

Index entries for sequences related to factorial base representation

FORMULA

A(n,k) = A276953(n,k)/n!

EXAMPLE

The top left corner of the array:

  1, 3,  4,  5,  7,  9, 10, 11,  13,  15,  16,  17,  18,  19,  20,  21,  22

  1, 4,  6,  7, 13, 16, 18, 19,  25,  28,  30,  31,  36,  37,  39,  40,  42

  1, 5,  8,  9, 21, 25, 28, 29,  41,  45,  48,  49,  60,  61,  64,  65,  68

  1, 6, 10, 11, 31, 36, 40, 41,  61,  66,  70,  71,  90,  91,  95,  96, 100

  1, 7, 12, 13, 43, 49, 54, 55,  85,  91,  96,  97, 126, 127, 132, 133, 138

  1, 8, 14, 15, 57, 64, 70, 71, 113, 120, 126, 127, 168, 169, 175, 176, 182

PROG

(Scheme)

(define (A276616 n) (A276616bi (A002260 n) (A004736 n)))

(define (A276616bi row col) (/ (A276953bi row col) (A000142 row)))

CROSSREFS

Transpose: A276617.

Cf. A000142, A276953.

Row 1: A273670, row 2: A276931, row 3: A276934.

For columns, see the rows of transpose A276617.

Sequence in context: A245539 A089554 A276617 * A286623 A246340 A246354

Adjacent sequences:  A276613 A276614 A276615 * A276617 A276618 A276619

KEYWORD

nonn,base,tabl

AUTHOR

Antti Karttunen, Sep 22 2016

STATUS

approved

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Last modified January 16 21:37 EST 2019. Contains 319206 sequences. (Running on oeis4.)