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A046023 Number of ways to color edges of a tetrahedron using <= n colors. 8
0, 1, 12, 87, 416, 1475, 4236, 10437, 22912, 45981, 85900, 151371, 254112, 409487, 637196, 962025, 1414656, 2032537, 2860812, 3953311, 5373600, 7196091, 9507212, 12406637, 16008576, 20443125, 25857676, 32418387, 40311712 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = (n^6+3*n^4+8*n^2)/12.
G.f.: x*(1+x)*(1+4*x+20*x^2+4*x^3+x^4)/(1-x)^7. - Colin Barker, Jan 30 2012
E.g.f.: exp(x)*x*(12 + 60*x + 108*x^2 + 68*x^3 + 15*x^4 + x^5)/12. - Stefano Spezia, Feb 29 2024
MAPLE
A046023 := n->(n^6+3*n^4+8*n^2)/12;
MATHEMATICA
LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 1, 12, 87, 416, 1475, 4236}, 30] (* Vincenzo Librandi, Jan 31 2012 *)
PROG
(PARI) a(n)=(n^6+3*n^4+8*n^2)/12 \\ Charles R Greathouse IV, Jan 31 2012
CROSSREFS
Cf. A006008.
Row 3 of A327083.
Sequence in context: A283119 A091119 A243248 * A369421 A183721 A180797
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Apr 11 2001
STATUS
approved

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Last modified July 25 03:25 EDT 2024. Contains 374586 sequences. (Running on oeis4.)