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.

A129395 Row sums of A129394.

Original entry on oeis.org

0, 4, -14, 32, 6, -220, 794, -1528, 1038, 4428, -19998, 44528, -49770, -48908, 391210, -1033384, 1520286, -160228, -6341134, 20818496, -37590234, 26378436, 82578234, -374832472, 813526830, -912940820, -677582846, 6058167440, -15935945034, 23495866004, -4618822582, -86184783880
Offset: 0

Views

Author

Jonas Wallgren, Apr 13 2007

Keywords

Crossrefs

Cf. A129394.

Formula

Empirical g.f.: -2*x*(4*x^4-17*x^3-x-2) / ((x-1)^2*(4*x^2+3*x+1)^2). - Colin Barker, Oct 07 2015

Extensions

More terms from 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

A129396 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, 2, 5, 2, 3, -10, -15, -10, 3, 4, 16, 9, 3, 9, 16, 4, 5, 22, 13, -25, -47, -25, 13, 22, 5, 6, -140, -151, -33, 105, 163, 105, -33, -151, -140, 6, 7, 378, 365, 127, -87, -181, -199, -181, -87, 127, 365, 378, 7, 8, -504, -519, -393, -239, 27, 353, 507, 353, 27, -239, -393, -519, -504, 8, 9, -194, -211, 487, 1217, 1123, 145
Offset: 0

Views

Author

Jonas Wallgren, Apr 13 2007

Keywords

Comments

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

Links

Crossrefs

Cf. A129392, A129397.

Extensions

More terms from 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.

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