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A132815 A007318^(-1) * A132814. 1
1, -1, 2, 1, -2, 3, -1, 0, 0, 4, 1, 4, -12, 8, 5, -1, -10, 30, -40, 25, 6, 1, 18, -45, 60, -75, 54, 7, -1, -28, 42, 0, 0, -84, 98, 8, 1, 40, 0, -224, 420, -336, 0, 160, 9, -1, -54, -108, 672, -1260, 1512, -1176, 288, 243, 10 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Row sums = A001405: (1, 1, 2, 3, 6, 10, 10, ...).
LINKS
FORMULA
Inverse binomial transform of A132814.
EXAMPLE
First few rows of the triangle:
1;
-1, 2;
1, -2, 3;
-1, 0, 0, 4;
1, 4, -12, 8, 5;
-1, -10, 30, -240, 25, 6;
1, 18, -45, 60, -75, 54, 7;
...
PROG
(PARI) tabl(nn) = {t007318 = matrix(nn, nn, n, k, binomial(n-1, k-1)); t132813 = matrix(nn, nn, n, k, binomial(n-1, k-1)*binomial(n, k-1)); t132814 = t007318^(-1)*t132813; t132815 = t007318^(-1)*t132814; for (n=1, nn, for (k=1, n, print1(t132815[n, k], ", "); ); ); } \\ Michel Marcus, Feb 12 2014
CROSSREFS
Sequence in context: A317441 A249777 A289065 * A167684 A094646 A124448
KEYWORD
tabl,easy,sign
AUTHOR
Gary W. Adamson, Sep 01 2007
EXTENSIONS
Typo corrected by Travis Hoppe, Apr 24 2008
T(5, 1) corrected by Michel Marcus, Feb 12 2014
STATUS
approved

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Last modified March 28 14:21 EDT 2024. Contains 371254 sequences. (Running on oeis4.)