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.

Previous Showing 21-23 of 23 results.

A227663 Number of lattice paths from {9}^n to {0}^n using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_n) we have abs(p_{i}-p_{i+1}) <= 1.

Original entry on oeis.org

1, 1, 512, 47437640, 98903777810704, 2026535155335964884480, 253839841305922000782983605664, 142850870919946441196223189856661775872, 290576954131557518350262914717217159752148225600, 1817025580455577353700768095528219275036151622984555026720
Offset: 0

Views

Author

Alois P. Heinz, Jul 19 2013

Keywords

Examples

			a(2) = 2^9 = 512.
		

Crossrefs

Row n=9 of A227655.
Cf. A000079.

A227664 Number of lattice paths from {10}^n to {0}^n using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_n) we have abs(p_{i}-p_{i+1}) <= 1.

Original entry on oeis.org

1, 1, 1024, 345104904, 3738507768500896, 515791104488454210243072, 533787802709908480895773030991840, 2939698583689917131062885788617101100432640, 67615349092818211761363011993295568195043095341810560, 5423343272088334681448905520570069990718596808928384073877898816
Offset: 0

Views

Author

Alois P. Heinz, Jul 19 2013

Keywords

Examples

			a(2) = 2^10 = 1024.
		

Crossrefs

Row n=10 of A227655.
Cf. A000079.

A227673 Number of lattice paths from {n}^n to {0}^n using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_n) we have abs(p_{i}-p_{i+1}) <= 1.

Original entry on oeis.org

1, 1, 4, 320, 1281696, 482913033152, 27297846037161958056, 337320253484345016223956919936, 1248760044848501400078426452469652899962528, 1817025580455577353700768095528219275036151622984555026720
Offset: 0

Views

Author

Alois P. Heinz, Jul 19 2013

Keywords

Examples

			a(0) = 1: () .
a(1) = 1: (1)-(0) .
.               (1,2)       (0,1)
.              /     \     /     \
a(2) = 4: (2,2)       (1,1)       (0,0) .
.              \     /     \     /
.               (2,1)       (1,0)
		

Crossrefs

Main diagonal of A227655.
Previous Showing 21-23 of 23 results.