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
Offset: 1
Keywords
Links
- Eric Weisstein's World of Mathematics, Antiprism Graph.
- Eric Weisstein's World of Mathematics, Burning Number.
Programs
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Mathematica
Table[Floor[(Sqrt[16 n - 1] + 5)/4], {n, 50}] Floor[(Sqrt[16 Range[50] - 1] + 5)/4] -
PARI
a(n) = {1 + (sqrtint(16*n - 1) + 1)\4} \\ Andrew Howroyd, Jan 10 2024
Formula
a(n) = A204166(2*n) = A351846(2*n-1) + 1 = floor((sqrt(16*n - 1) + 1)/4) + 1. - Andrew Howroyd, Jan 10 2024
Extensions
a(1)-a(2) and terms a(34) and beyond from Andrew Howroyd, Jan 10 2024
Comments