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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

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

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

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 * A183721 A180797 A137207

Adjacent sequences: A046020 A046021 A046022 * A046024 A046025 A046026

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Apr 11 2001

STATUS

approved

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Last modified December 1 18:55 EST 2022. Contains 358475 sequences. (Running on oeis4.)