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A127755 Inverse of number triangle A(n,k) = 1/n! if k <= n <= 2k, 0 otherwise. 1
1, 0, 1, 0, -1, 2, 0, 1, -2, 6, 0, 0, 0, -6, 24, 0, -1, 2, 0, -24, 120, 0, 0, 0, 0, 0, -120, 720, 0, 1, -2, 6, 0, 0, -720, 5040, 0, 0, 0, 0, 0, 0, 0, -5040, 40320, 0, 0, 0, -6, 24, 0, 0, 0, -40320, 362880, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

It is conjectured that this is an integer triangle. Row sums are A127756.

LINKS

Table of n, a(n) for n=0..63.

EXAMPLE

Triangle begins

  1;

  0,  1;

  0, -1,  2;

  0,  1, -2,  6;

  0,  0,  0, -6,  24;

  0, -1,  2,  0, -24,  120;

  0,  0,  0,  0,   0, -120,  720;

  0,  1, -2,  6,   0,    0, -720,  5040;

  0,  0,  0,  0,   0,    0,    0, -5040,  40320;

  0,  0,  0, -6,  24,    0,    0,     0, -40320,  362880;

  0,  0,  0,  0,   0,    0,    0,     0,      0, -362880,  3628800;

  0, -1,  2,  0, -24,  120,    0,     0,      0,       0, -3628800,  39916800;

  0,  0,  0,  0,   0,    0,    0,     0,      0,       0,        0, -39916800, 479001600;

Inverse of triangle begins

  1;

  0,  1;

  0, 1/2, 1/2;

  0,  0,  1/6,  1/6;

  0,  0,  1/24, 1/24,  1/24;

  0,  0,   0,   1/120, 1/120,   1/120;

  0,  0,   0,   1/720, 1/720,   1/720,     1/720;

  0,  0,   0,    0,    1/5040,  1/5040,    1/5040,    1/5040;

  0,  0,   0,    0,    1/40320, 1/40320,   1/40320,   1/40320,   1/40320;

  0,  0,   0,    0,     0,      1/362880,  1/362880,  1/362880,  1/362880,  1/362880;

  0,  0,   0,    0,     0,      1/3628800, 1/3628800, 1/3628800, 1/3628800, 1/3628800, 1/3628800;

CROSSREFS

Sequence in context: A055509 A006667 A112570 * A180662 A318144 A260663

Adjacent sequences:  A127752 A127753 A127754 * A127756 A127757 A127758

KEYWORD

sign,tabl

AUTHOR

Paul Barry, Jan 28 2007

STATUS

approved

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Last modified January 23 19:36 EST 2020. Contains 331175 sequences. (Running on oeis4.)