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A126126 Triangle read by rows: matrix inverse of A110877. 4
1, -1, 1, 2, -4, 1, -5, 13, -7, 1, 13, -40, 33, -10, 1, -34, 120, -132, 62, -13, 1, 89, -354, 483, -308, 100, -16, 1, -233, 1031, -1671, 1345, -595, 147, -19, 1, 610, -2972, 5561, -5398, 3030, -1020, 203, -22, 1, -1597, 8495, -17984, 20410, -13893, 5943, -1610, 268, -25, 1, 4181, -24110, 56886, -73816, 59059, -30702, 10570, -2392, 342, -28, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

A110877 can be generated from M^n * [1,0,0,0...] where M = an infinite tridiagonal matrix with 1's in the super and subdiagonals and (1,3,3,3...) in the main diagonal.

Up to signs the same as A124037. - R. J. Mathar, Sep 06 2013

Riordan array ((1+2*x)/(1+3*x+x^2), x/(1+3*x+x^2)). - Philippe Deléham, Mar 04 2014

LINKS

Table of n, a(n) for n=0..65.

FORMULA

Sum_{j=k..n} T(n,j)*A110877(j,k) = delta(n,k).

EXAMPLE

First few rows of the triangle are:

1;

-1, 1;

2, -4, 1;

-5, 13, -7, 1;

13, -40, 33, -10, 1;

-34, 120, -132, 62, -13, 1

...

CROSSREFS

Cf. A110877.

Sequence in context: A181336 A238731 A124037 * A090285 A286784 A047908

Adjacent sequences:  A126123 A126124 A126125 * A126127 A126128 A126129

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Dec 17 2006

EXTENSIONS

Corrected by R. J. Mathar, Sep 06 2013

STATUS

approved

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Last modified June 22 19:28 EDT 2021. Contains 345388 sequences. (Running on oeis4.)