A291090 -id:A291090 - cp's OEIS frontend

A291091 a(n) = A214938(2n+1).

1, 2, 7, 28, 122, 562, 2693, 13288, 67064, 344588, 1796518, 9479780, 50532640, 271710662, 1471935235, 8026070768, 44015873308, 242619318848, 1343427572648, 7469219870968, 41680871386016, 233373274580372, 1310659959443722, 7381448319246248, 41678055955034962

Offset: 0

N. J. A. Sloane, Aug 19 2017

nonn

Lars Blomberg, Table of n, a(n) for n = 0..1000

Cf. A214938, A291090.

a(17)-a(24) from Lars Blomberg, Aug 20 2017

A291086 Irregular triangle read by rows: T(n,m) = number of lattice paths of type {B^Q}_R terminating at point (n, m).

Original entry on oeis.org

1, 1, 1, 1, 3, 4, 4, 2, 1, 11, 17, 18, 13, 8, 3, 1, 46, 76, 85, 72, 51, 28, 13, 4, 1, 207, 355, 415, 384, 300, 196, 110, 50, 19, 5, 1, 977, 1716, 2076, 2034, 1705, 1236, 785, 430, 204, 80, 26, 6, 1, 4769, 8519, 10584, 10801, 9541, 7426, 5145, 3165, 1729, 826, 343, 119, 34, 7, 1

Offset: 0

N. J. A. Sloane, Aug 19 2017

			Triangle begins:
1,
1,1,1,
3,4,4,2,1,
11,17,18,13,8,3,1,
46,76,85,72,51,28,13,4,1,
207,355,415,384,300,196,110,50,19,5,1,
977,1716,2076,2034,1705,1236,785,430,204,80,26,6,1,
4769,8519,10584,10801,9541,7426,5145,3165,1729,826,343,119,34,7,1,
...

Veronika Irvine, Lace Tessellations: A mathematical model for bobbin lace and an exhaustive combinatorial search for patterns, PhD Dissertation, University of Victoria, 2016.

First column is A291090.

A291087 Irregular triangle read by rows: T(n,m) = number of lattice paths of type B^Q terminating at point (n, m).

Original entry on oeis.org

1, 1, 2, 3, 2, 1, 7, 11, 10, 7, 3, 1, 28, 46, 48, 39, 24, 12, 4, 1, 122, 207, 233, 208, 151, 92, 45, 18, 5, 1, 562, 977, 1154, 1099, 880, 606, 356, 179, 74, 25, 6, 1, 2693, 4769, 5826, 5815, 4975, 3726, 2451, 1419, 714, 310, 112, 33, 7, 1, 13288, 23872, 29904, 30926, 27768, 22112, 15736, 10039, 5720, 2898, 1288, 496, 160, 42, 8, 1

Offset: 0

N. J. A. Sloane, Aug 19 2017

			Triangle begins:
1,1,
2,3,2,1,
7,11,10,7,3,1,
28,46,48,39,24,12,4,1,
122,207,233,208,151,92,45,18,5,1,
562,977,1154,1099,880,606,356,179,74,25,6,1,
2693,4769,5826,5815,4975,3726,2451,1419,714,310,112,33,7,1,
...

Veronika Irvine, Lace Tessellations: A mathematical model for bobbin lace and an exhaustive combinatorial search for patterns, PhD Dissertation, University of Victoria, 2016.

The first two columns are A291091 and A291090.

cp's OEIS Frontend

A291091 a(n) = A214938(2n+1).

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A291086 Irregular triangle read by rows: T(n,m) = number of lattice paths of type {B^Q}_R terminating at point (n, m).

Views

Author

Keywords

Examples

Links

Crossrefs

A291087 Irregular triangle read by rows: T(n,m) = number of lattice paths of type B^Q terminating at point (n, m).

Views

Author

Keywords

Examples

Links

Crossrefs