A132694 Column 3 of triangle A132690.

1, 1, -4, 35, -455, 7735, -161336, 3973212, -112587210, 3603324835, -128433778935, 5042279130343, -216113991649920, 10038333251577820, -502213976534135280, 26920671954736535620, -1539171664433009622090, 93492751831594011076131, -6012423991038631627857900

Offset

0,3

Comments

Triangle T=A132690 is generated from negative powers of itself such that row n+1 of T = row n of T^(-n) with appended '1' for n>=0 with T(0,0)=1.

Links

Table of n, a(n) for n=0..18.

Prog

(PARI) {a(n)=local(A=Mat(1), B); for(m=1, n+4, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, B[i, j]=(A^(-(i-2)))[i-1, j]); )); A=B); return( ((A)[n+4, 4]))}

Crossrefs

Cf. A132690; A132691, A132692, A132693.

Sequence in context: A160887 A277386 A183878 * A270917 A367925 A367923

Adjacent sequences: A132691 A132692 A132693 * A132695 A132696 A132697

Keyword

sign

Author

Paul D. Hanna, Aug 25 2007

Status

approved