cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A129397 Row sums of A129396.

Original entry on oeis.org

1, 9, -29, 61, -17, -263, 1019, -2027, 1639, 4625, -22989, 52717, -62369, -43863, 426475, -1159355, 1757143, -366911, -6668509, 22627357, -41707313, 31494233, 83699163, -398658443, 880521031, -1018619535, -628523501, 6333704269, -16958792897, 25462262281, -6426619957, -88626976859
Offset: 0

Views

Author

Jonas Wallgren, Apr 13 2007

Keywords

Crossrefs

Cf. A129396.

Formula

Empirical g.f.: (x+1)*(8*x^4-6*x^3+x^2+12*x+1) / ((x-1)^2*(4*x^2+3*x+1)^2). - Colin Barker, Oct 07 2015

Extensions

Corrected and extended by R. J. Mathar, Apr 30 2007

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

Original entry on oeis.org

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

Views

Author

Jonas Wallgren, Apr 13 2007

Keywords

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

Crossrefs

Cf. A129393, A129394, A129396, A129398.

Extensions

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

A129394 Triangle read by rows: T(r,c)=T(r,c-1)+T(r,c+1)+T(r-1,c-1).

Original entry on oeis.org

0, 1, 2, 1, 2, -5, -8, -5, 2, 3, 9, 4, 0, 4, 9, 3, 4, 19, 12, -16, -32, -16, 12, 19, 4, 5, -107, -116, -28, 76, 120, 76, -28, -116, -107, 5, 6, 287, 276, 96, -64, -132, -144, -132, -64, 96, 276, 287, 6, 7, -367, -380, -300, -196, 8, 268, 392, 268, 8, -196, -300, -380, -367, 7, 8, -245, -260, 352, 992, 940, 144, -804, -1216
Offset: 0

Views

Author

Jonas Wallgren, Apr 13 2007

Keywords

Comments

Like A129392, except edge elements=0,1,2,3,4,5,...

Links

Crossrefs

Cf. A129392, A129395.

Extensions

Corrected and extended by R. J. Mathar, Jan 17 2008
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.