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A128065
Binomial transform of A128064.
1
1, 0, 2, -1, 2, 3, -2, 0, 6, 4, -3, -4, 6, 12, 5, -4, -10, 0, 20, 20, 6, -5, -18, -15, 20, 45, 30, 7, -6, -28, -42, 0, 70, 84, 42, 8, -7, -40, -84, -56, 70, 168, 140, 56, 9, -8, -54, -144, -168, 0, 252, 336, 216, 72, 10
OFFSET
1,3
COMMENTS
A128064 * A007318 = A103406 row sums = 2^(n-1).
FORMULA
A007318 * A128064 as infinite lower triangular matrices.
EXAMPLE
First few rows of the triangle are:
1;
0, 2;
-1, 2, 3;
-2, 0, 6, 4;
-3, -4, 6, 12, 5;
...
MATHEMATICA
Table[(k + 1) (Binomial[n, k] - Binomial[n, k + 1]), {n, 0,
12}, {k, 0, n}] // Flatten (* Nathaniel MacFadden, Jul 11 2019 *)
PROG
(Magma) /* As triangle */ [[(k+1)*(Binomial(n, k)-Binomial(n, k+1)): k in [0..n]]: n in [0.. 15]]; // Vincenzo Librandi, Jul 12 2019
CROSSREFS
Sequence in context: A243919 A231775 A372840 * A364933 A361158 A329744
KEYWORD
tabl,sign
AUTHOR
Gary W. Adamson, Feb 14 2007
EXTENSIONS
a(43) corrected by Nathaniel MacFadden, Jul 11 2019
STATUS
approved