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A080959 Square array of coefficients of binomial polynomials, read by antidiagonals. 3
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 (list; table; graph; refs; listen; history; text; internal format)
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: A307149 A276421 A078657 * A065548 A152063 A321738

Adjacent sequences:  A080956 A080957 A080958 * A080960 A080961 A080962

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry, Mar 01 2003

STATUS

approved

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Last modified October 16 21:10 EDT 2019. Contains 328103 sequences. (Running on oeis4.)