login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A114156 Triangle, read by rows, equal to the matrix inverse of P=A113370. 10
1, -1, 1, 3, -4, 1, 6, 0, -7, 1, -8, 38, -21, -10, 1, -501, 692, -119, -60, -13, 1, -13623, 14910, -420, -735, -117, -16, 1, -409953, 401802, 22911, -12470, -2080, -192, -19, 1, -14544683, 13278520, 1577527, -255570, -51064, -4424, -285, -22, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..44.

EXAMPLE

Triangle P^-1 begins:

1;

-1,1;

3,-4,1;

6,0,-7,1;

-8,38,-21,-10,1;

-501,692,-119,-60,-13,1;

-13623,14910,-420,-735,-117,-16,1;

-409953,401802,22911,-12470,-2080,-192,-19,1; ...

Triangle P^-2 begins:

1;

-2,1;

10,-8,1;

-9,28,-14,1;

-177,160,28,-20,1;

-2307,1366,455,10,-26,1;

-38874,15982,8666,660,-26,-32,1; ...

PROG

(PARI) T(n, k)=local(P, Q, R, W); P=Mat(1); for(m=2, n+1, W=matrix(m, m); for(i=1, m, for(j=1, i, if(i<3 || j==i || j>m-1, W[i, j]=1, if(j==1, W[i, 1]=1, W[i, j]=(P^(3*j-2))[i-j+1, 1])); )); P=W); (P^-1)[n+1, k+1]

CROSSREFS

Cf. A114157 (column 0), A113370 (P), A113381 (Q), A113389 (R); A114150 (R^2*Q^-1=Q^3*P^-2), A114151 (R^-2*Q^3=Q^-1*P^2), A114152 (R^3*P^-1), A114153 (R^-1*P^3), A114154 (R^3*Q^-2), A114155 (Q^-2*P^3); A114158 (Q^-1), A114159 (R^-1).

Sequence in context: A137911 A019599 A177971 * A339964 A342915 A276433

Adjacent sequences:  A114153 A114154 A114155 * A114157 A114158 A114159

KEYWORD

sign,tabl

AUTHOR

Paul D. Hanna, Nov 15 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 16 13:05 EDT 2021. Contains 345057 sequences. (Running on oeis4.)