A136426 Triangle T(n,0)=0 and T(n,k) = -A028421(n-1,k-1), 0<k<=n.

0, 0, -1, 0, -1, -2, 0, -2, -6, -3, 0, -6, -22, -18, -4, 0, -24, -100, -105, -40, -5, 0, -120, -548, -675, -340, -75, -6, 0, -720, -3528, -4872, -2940, -875, -126, -7, 0, -5040, -26136, -39396, -27076, -9800, -1932, -196, -8, 0, -40320, -219168, -354372, -269136, -112245, -27216, -3822, -288, -9, 0, -362880

Offset

1,6

Comments

Row sums are -A000254(n).

Links

Table of n, a(n) for n=1..57.

J. Sondow, Eric W. Weisstein, Harmonic Number, MathWorld

Example

0;
0, -1;
0, -1, -2;
0, -2, -6, -3;
0, -6, -22, -18, -4;
0, -24, -100, -105, -40, -5;
0, -120, -548, -675, -340, -75, -6;
0, -720, -3528, -4872, -2940, -875, -126, -7;
0, -5040, -26136, -39396, -27076, -9800, -1932, -196, -8;
0, -40320, -219168, -354372, -269136, -112245, -27216, -3822, -288, -9;
0, -362880, -2053152, -3518100, -2894720, -1346625, -379638, -66150, -6960,-405, -10;

Mathematica

Clear[p, g] p[t_] = x*Log[1 - t]/(1 - t)^x; g = Table[ ExpandAll[n!SeriesCoefficient[ Series[p[t], {t, 0, 30}], n]], {n, 0, 10}]; a = Table[n!* CoefficientList[Simplify[SeriesCoefficient[ Series[p[t], {t, 0, 30}], n]], x], {n, 0, 10}]; Flatten[a]

Crossrefs

Sequence in context: A320240 A320992 A320078 * A325199 A185197 A327116

Adjacent sequences: A136423 A136424 A136425 * A136427 A136428 A136429

Keyword

tabl,sign

Author

Roger L. Bagula, Apr 13 2008

Status

approved