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A290028 Number of 5-cycles in the n-halved cube graph. 3
0, 0, 0, 288, 5664, 50688, 314496, 1569792, 6773760, 26320896, 94482432, 318726144, 1022681088, 3148873728, 9366110208, 27051687936, 76178522112, 209845223424, 566967140352, 1505815953408, 3938646491136, 10161657741312, 25894399770624, 65248539181056 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..24.

Eric Weisstein's World of Mathematics, Graph Cycle

Eric Weisstein's World of Mathematics, Halved Cube Graph

Index entries for linear recurrences with constant coefficients, signature (12, -60, 160, -240, 192, -64).

FORMULA

a(n) = 3*2^n*binomial(n,4)*(29*n-86)/5.

a(n) = 12*a(n-1)-60*a(n-2)+160*a(n-3)-240*a(n-4)+192*a(n-5)-64*a(n-6).

G.f.: (96*x*(3*x^3 + 23*x^4))/(-1 + 2*x)^6.

MATHEMATICA

Table[3 2^n Binomial[n, 4] (29 n - 86)/5, {n, 20}]

LinearRecurrence[{12, -60, 160, -240, 192, -64}, {0, 0, 0, 288, 5664, 50688}, 20]

CoefficientList[Series[(96 (3 x^3 + 23 x^4))/(-1 + 2 x)^6, {x, 0, 20}], x]

CROSSREFS

Cf. A290026 (3-cycles), A290027 (4-cycles), A290029 (6-cycles).

Sequence in context: A229506 A332429 A232340 * A330817 A299860 A264204

Adjacent sequences:  A290025 A290026 A290027 * A290029 A290030 A290031

KEYWORD

nonn

AUTHOR

Eric W. Weisstein, Jul 17 2017

STATUS

approved

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Last modified September 28 21:44 EDT 2020. Contains 337414 sequences. (Running on oeis4.)