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A108284 Triangle read by rows, related to A108283. 3
1, 3, 2, 6, 11, 6, 10, 39, 54, 24, 15, 114, 304, 324, 120, 21, 300, 1384, 2664, 2280, 720, 28, 741, 5598, 17364, 25800, 18360, 5040, 36, 1757, 21054, 99012, 227400, 273720, 166320, 40320, 45, 4052, 75504, 518592, 1728816, 3131400, 3160080, 1673280, 362880, 55, 9162, 262104, 2564892, 11934816, 30523800, 45496080, 39473280, 18506880, 3628800 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..55.

FORMULA

n-th row is the inverse binomial transform of n-th column of A108283.

EXAMPLE

Triangle begins:

1;

3, 2;

6, 11, 6;

10, 39, 54, 24;

15, 114, 304, 324, 120; ...

Row 2: (3, 2, 0, 0, 0...), is the inverse binomial transform of column 2 of A108283: (3, 5, 7, 9...).

MATHEMATICA

(* T = A108283 *) T[_, 1] := 1; T[n_, n_] := n*(n + 1)/2; T[n_, k_] := (1 - (n - k + 1)^k*(k^2 - k*n + 1))/(n - k)^2; row[n_] := (TT = Table[T[k, n], {k, n, 2*n - 1}]; Table[Differences[TT, k], {k, 0, n - 1}][[All, 1]]); Table[row[n], {n, 1, 10}] // Flatten (* Jean-François Alcover, Sep 13 2016 *)

CROSSREFS

Cf. A108283.

Sequence in context: A210748 A331889 A109876 * A095011 A274975 A188621

Adjacent sequences:  A108281 A108282 A108283 * A108285 A108286 A108287

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, May 30 2005

EXTENSIONS

More terms from Jean-François Alcover, Sep 13 2016

STATUS

approved

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Last modified August 4 09:03 EDT 2020. Contains 336201 sequences. (Running on oeis4.)