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A297711
Number of maximal irredundant sets in the n-dipyramidal graph.
1
4, 15, 21, 24, 29, 31, 49, 83, 89, 124, 170, 241, 374, 511, 732, 1029, 1540, 2287, 3294, 4821, 7016, 10332, 15261, 22350, 32782, 48041, 70703, 104022, 152769, 224447, 329575, 484520, 712345, 1046809, 1538239, 2260186, 3322011, 4882655, 7175821, 10545666
OFFSET
3,1
LINKS
Eric Weisstein's World of Mathematics, Dipyramidal Graph.
Eric Weisstein's World of Mathematics, Maximal Irredundant Set.
Index entries for linear recurrences with constant coefficients, signature (2,0,-1,0,0,-1,0,0,2,2,-4,0,1,-1,2,-1).
FORMULA
G.f.: x^3*(4 + 7*x - 9*x^2 - 14*x^3 - 4*x^4 - 6*x^5 + 15*x^6 + 29*x^7 - 25*x^8 + 11*x^9 - 4*x^10 - 35*x^11 + 35*x^12 - 10*x^13 + 5*x^14 + 5*x^15 - 6*x^16)/((1 - x)^2*(1 - x^2 - x^3 - x^4 - x^5 + x^7 + 2*x^8 + x^9 - 2*x^10 - x^11 + x^14)). - Andrew Howroyd, May 29 2025
CROSSREFS
Cf. A297712.
Sequence in context: A301707 A100783 A170850 * A055465 A209870 A167293
KEYWORD
nonn,easy
AUTHOR
Eric W. Weisstein, Jun 18 2018
EXTENSIONS
a(21)-a(30) from Andrew Howroyd, Jun 26 2018
More terms from Christian Sievers, Nov 14 2023
STATUS
approved