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A286756 Irregular triangle T(n,k) for 0 <= k < 5n/2: T(n,k) = number of vertices of the cube-connected cycle graph of order n that are at a distance k from a designated vertex. 3
1, 1, 1, 2, 2, 2, 1, 1, 3, 4, 6, 6, 3, 1, 1, 3, 5, 8, 11, 13, 13, 8, 2, 0, 1, 3, 6, 10, 16, 24, 31, 32, 23, 11, 3, 0, 1, 3, 6, 11, 18, 29, 43, 58, 72, 71, 47, 19, 5, 1, 0, 1, 3, 6, 12, 20, 34, 55, 83, 120, 154, 162, 131, 77, 29, 7, 2, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

The cube-connected cycle graph of order n is a vertex transitive graph with n*2^n vertices and degree 3.

The radius of the graph is floor(5n/2)-1 for n<=3 and floor(5n/2)-2 for n>3.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..744

Eric Weisstein's World of Mathematics, Cube-Connected Cycle Graph

EXAMPLE

Triangle starts:

1, 1

1, 2, 2, 2, 1

1, 3, 4, 6, 6, 3, 1

1, 3, 5, 8,  11, 13, 13, 8, 2, 0

1, 3, 6, 10, 16, 24, 31, 32, 23, 11, 3, 0

1, 3, 6, 11, 18, 29, 43, 58, 72, 71, 47, 19, 5, 1, 0

1, 3, 6, 12, 20, 34, 55, 83, 120, 154, 162, 131, 77, 29, 7, 2, 0

...

The order 3 graph has 24 vertices. For k=1 to 6 there are 3, 4, 6, 6, 3, 1 vertices at a distance k from any vertex in the graph.

CROSSREFS

Row sums are A036289.

Cf. A192191.

Sequence in context: A087698 A101677 A152067 * A193884 A128084 A131823

Adjacent sequences:  A286753 A286754 A286755 * A286757 A286758 A286759

KEYWORD

nonn,tabf

AUTHOR

Andrew Howroyd, May 13 2017

STATUS

approved

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Last modified January 18 16:27 EST 2020. Contains 331011 sequences. (Running on oeis4.)