OFFSET
1,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 1..1000
Eric Weisstein's World of Mathematics, Graph Cycle
FORMULA
Empirical g.f.: -x*(6*x^3+29*x^2-18*x-1) / ((x-1)^2 * (2*x^3+9*x^2-8*x+1)). - Vaclav Kotesovec, Dec 09 2020
PROG
(Python)
# Using graphillion
from graphillion import GraphSet
def make_CnXPk(n, k):
grids = []
for i in range(1, k + 1):
for j in range(1, n):
grids.append((i + (j - 1) * k, i + j * k))
grids.append((i + (n - 1) * k, i))
for i in range(1, k * n, k):
for j in range(1, k):
grids.append((i + j - 1, i + j))
return grids
def A339137(n):
universe = make_CnXPk(4, n)
GraphSet.set_universe(universe)
cycles = GraphSet.cycles()
return cycles.len()
print([A339137(n) for n in range(1, 20)])
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Nov 25 2020
STATUS
approved