A080959 Square array of coefficients of binomial polynomials, read by antidiagonals.

1, 2, 1, 3, 1, 5, 4, 0, 11, 14, 5, -2, 20, 14, 94, 6, -5, 34, -10, 214, 444, 7, -9, 55, -74, 454, 444, 3828, 8, -14, 85, -200, 974, -636, 8868, 25584, 9, -20, 126, -416, 2024, -4236, 21468, 25584, 270576, 10, -27, 180, -756, 3968, -13056, 56748, -55056, 633456, 2342880, 11, -35, 249, -1260, 7308

Offset

1,2

Comments

Columns include A080956, A080957. Rows include A024167, A080959.

Links

Table of n, a(n) for n=1..60.

Formula

T(n, k) = k!Sum{j=1..k, (-1)^(j+1) binomial(n+j, j)/j}

Example

Rows begin
1 1 5 14 94 ...
2 1 11 14 214 ...
3 0 20 -10 454 ...
4 -2 34 -74 974 ...

Crossrefs

Sequence in context: A338357 A338358 A078657 * A065548 A152063 A336617

Adjacent sequences: A080956 A080957 A080958 * A080960 A080961 A080962

Keyword

easy,sign,tabl

Author

Paul Barry, Mar 01 2003

Status

approved