A368942 - OEIS

A368942

Burning number of the n-antiprism graph.

2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The n-antiprism graph is defined for n >= 3. The sequence has been extended to n=1 using the formula. - Andrew Howroyd, Jan 10 2024

LINKS

Table of n, a(n) for n=1..85.

Eric Weisstein's World of Mathematics, Antiprism Graph.

Eric Weisstein's World of Mathematics, Burning Number.

FORMULA

a(n) = A204166(2*n) = A351846(2*n-1) + 1 = floor((sqrt(16*n - 1) + 1)/4) + 1. - Andrew Howroyd, Jan 10 2024

MATHEMATICA