A129392 Triangle read by rows: T(r,c)=T(r,c-1)+T(r,c+1)+T(r-1,c-1).

1, 1, 3, 1, 1, -5, -7, -5, 1, 1, 7, 5, 3, 5, 7, 1, 1, 3, 1, -9, -15, -9, 1, 3, 1, 1, -33, -35, -5, 29, 43, 29, -5, -35, -33, 1, 1, 91, 89, 31, -23, -49, -55, -49, -23, 31, 89, 91, 1, 1, -137, -139, -93, -43, 19, 85, 115, 85, 19, -43, -93, -139, -137, 1, 1, 51, 49, 135, 225, 183, 1, -201, -287, -201, 1, 183, 225, 135, 49, 51, 1, 1, 399

Offset

0,3

Comments

All edge elements are 1 and the triangle is symmetric about the central line. For all elements x inside the triangle

..a..

.bxc.

we have x=a+b+c. The triangle is symmetric. The top of the triangle thus is

........1

.....1..3..1

..1.-5.-7.-5..1

1..7..5..3..5..7..1

Links

Table of n, a(n) for n=0..82.

R. J. Mathar, Comments on A129392, A129394 and A129396

Crossrefs

Cf. A129393, A129394, A129396, A129398.

Sequence in context: A247285 A047969 A047812 * A118538 A141523 A285808

Adjacent sequences: A129389 A129390 A129391 * A129393 A129394 A129395

Keyword

sign,tabf

Author

Jonas Wallgren, Apr 13 2007

Extensions

More terms from R. J. Mathar, Jan 17 2008

Status

approved