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A292026 Wiener index of the n-Sierpinski tetrahedron graph. 0
6, 66, 1476, 42984, 1343568, 42744480, 1365843264, 43691203200, 1397992469760, 44734751599104, 1431503994934272, 45808063400749056, 1465857513377452032, 46907436304708313088, 1501037928764511436800, 48033213456578353201152, 1537062828499432090435584 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Sierpinski Tetrahedron Graph
Eric Weisstein's World of Mathematics, Wiener Index
FORMULA
a(n) = 2^(n - 6)*(2016 + 15*2^(n + 4) + 175*4^(n + 1) + 89*16^n)/35.
a(n) = 46*a(n-1) - 504*a(n-2) + 1856*a(n-3) - 2048*a(n-4).
G.f.: 6*x*(1 - 35*x + 244*x^2 - 464*x^3)/(1 - 46*x + 504*x^2 - 1856*x^3 + 2048*x^4). [Corrected by Georg Fischer, May 23 2019]
MATHEMATICA
Table[2^(n - 6) (2016 + 15 2^(n + 4) + 175 4^(n + 1) + 89 16^n)/35, {n, 20}]
LinearRecurrence[{46, -504, 1856, -2048}, {6, 66, 1476, 42984}, 20]
CoefficientList[Series[-6 (-1 + 35 x - 244 x^2 + 464 x^3)/(1 - 46 x + 504 x^2 - 1856 x^3 + 2048 x^4), {x, 0, 20}], x]
CROSSREFS
Sequence in context: A367308 A271220 A259123 * A126459 A054969 A068966
KEYWORD
nonn,easy
AUTHOR
Eric W. Weisstein, Sep 07 2017
STATUS
approved

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Last modified March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)