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A291980 Triangle read by rows, T(n, k) = n!*[t^k]  ([x^n] exp(x*t)/(1 - log(1+x))) for 0<=k<=n. 2
1, 1, 1, 1, 2, 1, 2, 3, 3, 1, 4, 8, 6, 4, 1, 14, 20, 20, 10, 5, 1, 38, 84, 60, 40, 15, 6, 1, 216, 266, 294, 140, 70, 21, 7, 1, 600, 1728, 1064, 784, 280, 112, 28, 8, 1, 6240, 5400, 7776, 3192, 1764, 504, 168, 36, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

Triangle starts:

[1]

[1,      1]

[1,      2,    1]

[2,      3,    3,   1]

[4,      8,    6,   4,   1]

[14,    20,   20,  10,   5,   1]

[38,    84,   60,  40,  15,   6,  1]

[216,  266,  294, 140,  70,  21,  7, 1]

[600, 1728, 1064, 784, 280, 112, 28, 8, 1]

MAPLE

T_row := proc(n) exp(x*t)/(1 - log(1+x)): series(%, x, n+1):

seq(n!*coeff(coeff(%, x, n), t, k), k=0..n) end:

seq(T_row(n), n=0..10);

CROSSREFS

Row sums: A291981.

Columns: A006252 (c=1), A108125 (c=2).

Diagonals: A000217 (d=3), A007290 (d=4), A033488 (d=5).

Cf. A291978.

Sequence in context: A191579 A097724 A091836 * A238281 A080850 A247453

Adjacent sequences:  A291977 A291978 A291979 * A291981 A291982 A291983

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Sep 15 2017

STATUS

approved

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Last modified February 23 06:13 EST 2020. Contains 332159 sequences. (Running on oeis4.)