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A215080 T(n,k) = sum( (k-j)^n * binomial(n,j), j=0..k). 2
1, 0, 1, 0, 1, 6, 0, 1, 11, 54, 0, 1, 20, 151, 680, 0, 1, 37, 413, 2569, 11000, 0, 1, 70, 1128, 9450, 52431, 217392, 0, 1, 135, 3104, 34416, 243255, 1251921, 5076400, 0, 1, 264, 8637, 125248, 1113027, 7025016, 34282879, 136761984, 0, 1, 521, 24327, 457807, 5064143, 38811015, 225930121, 1059812993, 4175432064, 0, 1, 1034, 69334, 1685266, 23031680, 212609518, 1465077802, 8026643702, 36519075583, 142469423360 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Vincenzo Librandi and Alois P. Heinz, Rows n = 0..140, flattened

FORMULA

T(n,k) = sum( (k-j)^n * binomial(n,j), j=0..k).

MATHEMATICA

Flatten[Table[Table[Sum[(k - j)^n*Binomial[n, j], {j, 0, k}], {k, 0, n}], {n, 0, 10}], 1]

CROSSREFS

Row sums sequence is A215077.

Binomial convolution of descending powers.

Sequence in context: A019846 A320906 A195445 * A317446 A137943 A202189

Adjacent sequences:  A215077 A215078 A215079 * A215081 A215082 A215083

KEYWORD

nonn,tabl

AUTHOR

Olivier Gérard, Aug 02 2012

STATUS

approved

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Last modified December 2 05:01 EST 2021. Contains 349437 sequences. (Running on oeis4.)